Question

weight and height of a rectangle are increased by 10% to make a larger rectangle by what percent does the area increase​

Answer 1

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Let length of the rectangle = 100 unit

Breadth = 50 unit

Area = 100 * 50 = 5000

If the length is increased is by 10%,

New length = 110 unit

let,

New breadth = x unit

Given that, area is same in both case.

so, 110 * x = 5000

x = 5000/110 = 45.45

Now,

Change in breadth = 50 - 45.45 = 4.55 unit

the percentile change is, 4.55/50 × 100 = 9.1%

therefore, approx 9% of breadth is decreased to constant the area.