Question

the length of a rectangle is increased by 25% and breadth us diminished by 30% . What is the impact on the area?​

Answer 1

Step-by-step explanation:

$let \: l \: = 1.25l \: (25\% \: increased) \\ b = 0.7b \: ( \: 30\% \: diminished) \\ area \: = l \times b \\ = 1.25l\times 0.7b\\ =0. 875 {lb} \\ \\ actual \: area \: = l \times b \\ = lb \\ \\ area \: decreased \: by \: = lb - 0.875lb \\ = 0.125lb \: = \frac{1}{8} lb \:$

Answer 2

Let,

area be 100cm²

length = 10cm

breadth = 10cm

Given,

length is increased by 25%

=> 10 + 10×25% = 12.5 cm

Breadth is diminished by 30%

=> 10 - 10×30% = 7 cm

Then,

Area = 12.5 × 7 = 87.5cm²

Therefore we can conclude that if length is increased by 25% and breadth is decreased by 30% ,the area will be decreased by 12.5%