Question

the length and breadth of a rectangle differ by 4 and if the length is increased by 6M and breadth is used by 4 and there is no change in the area find the length and breadth of a rectangle​

Answer 1

let breadth be x

then the length will be (x + 4)

area of rectangle = 1 x b

l = (x + 4) = x² + 4x

b = (x - 4)

(x − 4)(x + 10)

x(x + 10) − 4(x +40)

(x² + 10x)(−4x – 40)

x² + (10x − 4x) – 40

x² + 6x - 40

therefore x² + 4x = x ^ 2 + 6x - 40

4x = 6x - 40

6x - 4x = 40 - 2x = 40

x = 40/2

breadth = 20m

length = 24m

area = l x b

(20 × 24)m²

= 480m²

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