## The length of a rectangle exceeds the breadth by 5cm. If the length is decreased by 1cm and the breadth is increased by 3cm, then

Question

The length of a rectangle exceeds the breadth by 5cm.

If the length is decreased by 1cm and the breadth is

increased by 3cm, then the area of the new rectangle

increases by 32cm^2. Find the perimeter of the orignal rectangle

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2021-09-13T17:40:13+00:00
2021-09-13T17:40:13+00:00 1 Answer
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## Answers ( )

Answer:Length = 25cm

Breadth = 20cm

Step-by-step explanation:Let the original length and breadth be l and b.

l = x

b = x + 5.

Now,

New length, l = x – 1

New breadth, b = x + 8.

Area of the new triangle exceeds the area of the original triangle.

(x – 1)(x + 8) = x(x + 5) + 32

x² + 8x – x – 8 = x² + 5x + 32

8x – x – 5x = 32 + 8

2x = 40

x = 20 cm.

So, the length and breadth of the rectangle is 25 cm and 20 cm, respectively.