Rs Aggarwal 2019 Solutions for Class 8 Math Chapter 18 Area Of A Trapezium And A Polygon are provided here with simple step-by-step explanations. These solutions for Area Of A Trapezium And A Polygon are extremely popular among Class 8 students for Math Area Of A Trapezium And A Polygon Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the Rs Aggarwal 2019 Book of Class 8 Math Chapter 18 are provided here for you for free. You will also love the ad-free experience on Meritnation’s Rs Aggarwal 2019 Solutions. All Rs Aggarwal 2019 Solutions for class Class 8 Math are prepared by experts and are 100% accurate.

#### Question 1:

Find the area of a trapezium whose parallel sides are 24 cm and 20 cm and the distance between them is 15 cm.

#### Question 2:

Find the area of a trapezium whose parallel sides are 38.7 cm and 22.3 cm, and the distance between them is 16 cm.

#### Question 3:

The shape of the top surface of a table is trapezium. Its parallel sides are 1 m and 1.4 m and the perpendicular distance between them is 0.9 m. Find its area. #### Question 4:

The area of a trapezium is 1080 cm2. If the lengths of its parallel sides be 55 cm and 35 cm, find the distance between them.

#### Question 5:

A field is in the form of a trapezium. Its area is 1586 m2 and the distance between its parallel sides is 26 m. If one of the parallel sides is 84 m, find the other.

#### Question 6:

The area of a trapezium is 405 cm2. Its parallel sides are in the ratio 4 : 5 and the distance between them is 18 cm. Find the length of each of the parallel sides.

#### Question 7:

The area of a trapezium is 180 cm2 and its height is 9 cm. If one of the parallel sides is longer than the other by 6 cm, find the two parallel sides.

#### Question 8:

In a trapezium-shaped field, one of the parallel sides is twice the other. If the area of the field is 9450 m2 and the perpendicular distance between the two parallel sides is 84 m, find the length of the longer of the parallel sides.

#### Question 9:

The length of the fence of a trapezium-shaped field ABCD is 130 m and side AB is perpendicular to each of the parallel sides AD and BC. If BC = 54 m, CD = 19 m and AD = 42 m, find the area of the field. #### Question 10:

In the given figure, ABCD is a trapezium in which AD||BC, ∠ABC = 90°, AD = 16 cm, AC = 41 cm and BC = 40 cm. Find the area of the trapezium. #### Question 11:

The parallel sides of a trapezium are 20 cm and 10 cm. Its nonparallel sides are both equal, each being 13 cm. Find the area of the trapezium. #### Question 12:

The parallel sides of a trapezium are 25 cm and 11 cm, while its nonparallel sides are 15 cm and 13 cm. Find the area of the trapezium. #### Question 1:

In the given figure, ABCD is a quadrilateral in which AC = 24 cm, BL ⊥ AC and DM ⊥ AC such that BL = 8 cm and DM = 7 cm. Find the area of quad. ABCD. #### Question 2:

In the given figure, ABCD is a quadrilateral-shaped field in which diagonal BD is 36 m, ALBD and CMBD such that AL = 19 m and CM = 11 m. Find the area of the field. $=\left(\frac{1}{2}×\mathrm{BD}×\mathrm{AL}\right)+\left(\frac{1}{2}×\mathrm{BD}×\mathrm{CM}\right)$

#### Question 3:

Find the area of pentagon ABCDE in which BLAC, DMAC and ENAC such that AC = 18 cm, AM = 14 cm, AN = 6 cm, BL = 4 cm, DM = 12 cm and EN = 9 cm. #### Question 4:

Find the area of hexagon ABCDEF in which BLAD, CMAD, ENAD and FPAD such that AP = 6 cm, PL = 2 cm, LN = 8 cm, NM = 2 cm, MD = 3 cm, FP = 8 cm, EN = 12 cm, BL = 8 cm and CM = 6 cm. #### Question 5:

Find the area of pentagon ABCDE in which BLAC, CMAD and ENAD such that AC = 10 cm, AD = 12 cm, BL = 3 cm, CM = 7 cm and EN = 5 cm. #### Question 6:

Find the area enclosed by the given figure ABCDEF as per dimensions given herewith. #### Question 7:

Find the area of given figure ABCDEFGH as per dimensions given in it. .

#### Question 8:

Find the area of a regular hexagon ABCDEF in which each side measures 13 cm and whose height is 23 cm, as shown in the given figure. #### Question 1:

The parallel sides of a trapezium measure 14 cm and 18 cm and the distance between them is 9 cm. The area of the trapezium is
(a) 96 cm2
(b) 144 cm2
(c) 189 cm2
(d) 207 cm2

(b) 144 cm2

#### Question 2:

The lengths of the parallel sides of a trapezium are 19 cm and 13 cm and its area is 128 cm2. The distance between the parallel sides is
(a) 9 cm
(b) 7 cm
(c) 8 cm
(d) 12.5 cm

(c) 8 cm

#### Question 3:

The parallel sides of a trapezium are in the ratio 3 : 4 and the perpendicular distance between them is 12 cm. If the area of the trapezium is 630 cm2, then its shorter of the parallel sides is
(a) 45 cm
(b) 42 cm
(c) 60 cm
(d) 36 cm

(a) 45 cm

#### Question 4:

The area of a trapezium is 180 cm2 and its height is 9 cm. If one of the parallel sides is longer than the other by 6 cm, the length of the longer of the parallel sides is
(a) 17 cm
(b) 23 cm
(c) 18 cm
(d) 24 cm

(b) 23 cm

#### Question 5:

In the given figure, AB||DC and DA ⊥ AB. If DC = 7 cm, BC = 10 cm, AB = 13 cm and CL ⊥ AB, the area of trap. ABCD is
(a) 84 cm2
(b) 72 cm2
(c) 80 cm2
(d) 91 cm2 (c) 80 cm2

#### Question 1:

The base of a triangular field is three times its height and its area is 1350 m2. Find the base and height of the field.

#### Question 2:

Find the area of an equilateral triangle of side 6 cm.

.

#### Question 3:

The perimeter of a rhombus is 180 cm and one of its diagonals is 72 cm. Find the length of the other diagonal and the area of the rhombus. #### Question 4:

The area of a trapezium is 216 m2 and its height is 12 m. If one of the parallel sides is 14 m less than the other, find the length of each of the parallel sides.

$=6\left(2x-14\right){m}^{2}\phantom{\rule{0ex}{0ex}}=\left(12x-84\right){m}^{2}$

#### Question 5:

Find the area of a quadrilateral one of whose diagonals is 40 cm and the lengths of the perpendiculars drawn from the opposite vertices on the diagonal are 16 cm and 12 cm. #### Question 6:

A field is in the form of a right triangle with hypotenuse 50 m and one side 30 m. Find the area of the field.

#### Question 7:

Mark (✓) against the correct answer:
The base of a triangle is 14 cm and its height is 8 cm. The area of the triangle is
(a) 112 cm2
(b) 56 cm2
(c) 122 cm2
(d) 66 cm2

(b) 56 cm2

#### Question 8:

Mark (✓) against the correct answer:
The base of a triangle is four times its height and its area is 50 m2. The length of its base is
(a) 10 m
(b) 15 m
(c) 20 m
(d) 25 m

(c) 20 m

#### Question 9:

Mark (✓) against the correct answer:
The diagonal of a quadrilateral is 20 cm in length and the lengths of perpendiculars on it from the opposite vertices are 8.5 cm and 11.5 cm. The area of the quadrilateral is
(a) 400 cm2
(b) 200 cm2
(c) 300 cm2
(d) 240 cm2

(b) 200 cm2 #### Question 10:

Mark (✓) against the correct answer:
Each side of a rhombus is 15 cm and the length of one of its diagonals is 24 cm. The area of the rhombus is
(a) 432 cm2
(b) 216 cm2
(c) 180 cm2
(d) 144 cm2

(b) 216 cm2 #### Question 11:

Mark (✓) against the correct answer:
The area of a rhombus is 120 cm2 and one of its diagonals is 24 cm. Each side of the rhombus is
(a) 10 cm
(b) 13 cm
(c) 12 cm
(d) 15 cm

(b) 13 cm #### Question 12:

Mark (✓) against the correct answer:
The parallel sides of a trapezium are 54 cm and 26 cm and the distance between them is 15 cm. The area of the trapezium is
(a) 702 cm2
(b) 810 cm2
(c) 405 cm2
(d) 600 cm2

(d) 600 cm2

2

=
600 cm2

#### Question 13:

Mark (✓) against the correct answer:
The area of a trapezium is 384 cm2. Its parallel sides are in the ratio 5 : 3 and the distance between them is 12 cm. The longer of the parallel sides is
(a) 24 cm
(b) 40 cm
(c) 32 cm
(d) 36 cm

(b) 40 cm

2
2=48x cm2

#### Question 14:

Fill in the blanks.
(i) Area of triangle = $\frac{1}{2}×\left(.........\right)×\left(.........\right).$
(ii) Area of a ||gm = $\frac{1}{2}×\left(.........\right)×\left(.........\right).$
(iii) Area of a trapezium = $\frac{1}{2}×\left(.........\right)×\left(.........\right).$
(iv) The parallel sides of a trapezium are 14 cm and 18 cm and the distance between them is 8 cm. The area of the trapezium is ......... cm2.