Area of a triangular suface is calculated as 1/2 x Altitude(Height) x Base If altitide of a triangle is - PSA - Quantitative Reasoning

Question

Area of a triangular suface is calculated as 1/2 x
Altitude(Height) x Base If altitide of a triangle is increased by
5% and the base is increased by 7% What percent would the area of
the triangle increase ?

Varun.Rawat · Accepted Answer

Dear Student,

Please find below the solution to the asked query:

Let the original base of △ = bLet the original height of △ = hOriginal area of △ = A1 = bh2Now, new base of △ = b' = b + 7% of b                                           = b + 7100 b                                           = 107100 bNew height of △ = h' = h + 5% of h                                    = h + 5100 h                                    = 105100 hNew area of △ = A2 = 12 × b' × h'                                  = 12 × 107100 b × 105100 h                                  = 1123520000 bhIncrease in area = A2 - A1                         = 1123520000 - 12 bh                         = 11235 - 1000020000 bh                         = 123520000 bhPercent increase in area = 123520000 bh12 bh × 100 %                                               = 123520000 × 21 × 100 %                                    = 12
35 %

Hope this information will clear your doubt about this
topic

If you have any more doubts about just ask here on the forum and
our experts will try to help you out as soon as
possible

Regards

Area of a triangular suface is calculated as 1/2 x Altitude(Height) x Base. If altitide of a triangle is increased by 5% and the base is increased by 7%. What percent would the area of the triangle increase ?