The dimensions of a rectangle are such that its length is 3 inches more that its width. If the length and width were decreased by 1 inch, the area would be increased by 150inch sq. what are the length and width of the rectangle?

Question

Marquis

Mathematics

3 March, 11:17

The dimensions of a rectangle are such that its length is 3 inches more that its width. If the length and width were decreased by 1 inch, the area would be increased by 150inch sq. what are the length and width of the rectangle?

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Conner Walsh · Answer 1

Let L be the length and W be the width. The equations that represents the given conditions are,

(1) L = W + 3

(2) A = (L - 1) x (W - 1) = 150

A = (W + 3 - 1) x (W - 1) = 150

The value of W is 11.8389 in. The width is therefore, 11.8389 in and the length is 14.8389 in.