There is a narrow rectangular plot, reserved for a school, in Mahuli village The length and breadth of the - Maths - Linear Equations in One Variable

Question

There is a narrow rectangular plot, reserved for a school, in
Mahuli village The length and breadth of the plot are in the ratio
11:4 At the rate Rs 100 per metre it will cost the village
panchayat Rs 75, 000 to fence the plot What are the dimensions of
the plot?

Gopal Mohanty · Accepted Answer

Let the common ratio between the length and breadth of the
rectangular plot be x Hence, the length and breadth of the
rectangular plot will be 11x m and 4x m
respectively
Perimeter of the plot = 2(Length + Breadth) <img src=
"https://img-nm%20mnimgs%20com/img/study_content/curr/1/8/5/65/3019/Chapter%202_html_5ba135b7%20gif"
name="Object101" align="absmiddle" width="183" height="29">
It is given that the cost of fencing the plot at the rate of Rs
100 per metre is Rs 75, 000
∴ 100 × Perimeter = 75000
100 × 30x = 75000
3000x = 75000
Dividing both sides by 3000, we obtain
x = 25
Length = 11x m = (11 × 25) m = 275 m
Breadth = 4x m = (4 × 25) m = 100 m
Hence, the dimensions of the plot are 275 m and 100 m
respectively

There is a narrow rectangular plot, reserved for a school, in Mahuli village. The length and breadth of the plot are in the ratio 11:4. At the rate Rs 100 per metre it will cost the village panchayat Rs 75, 000 to fence the plot. What are the dimensions of the plot?