Question

langer or smaller?
The length of a rectangle exceeds its breadth by 5 m. If the breadth were doubled
and the length reduced by 9 m, the area of the rectangle would have increased
140mx Find its dimensions.
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Answer 1

let the breadth(b) of rectangle be X m

then the length (l) = (X + 5) m

area of rectangle = lb

= X(X+5)

according to question,

New Breadth (B) = 2x m

New Length (L) = X + 5 - 9

= (X - 4) m

new area = old area + 140 m

LB = X(X+5)

2x(x-4) = x^2 + 5x

2x^2 - 8x = x^2 + 5x

2x^2 - x^2 = 5x + 8x

x^2 = 13x

x^2 - 13x = 0

X( x- 13) = 0

X - 13 = 0

X = 13 m

Therefore, breadth of rectangule is 13 m and length of rectangule is (13 + 5) = 18 m

Answer 2

Step-by-step explanation:

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