Question

the.length of a rectangle exceeds its breadth by 9 cm. if the lenght and breadth are increased by 3 cm. the area of the new rectangle become 84 sq/m more than that of the orignal rectangle .find length and breadth

Answer 1

Hey

Here is your answer,

Let the breadth of the orijnal rectangle be x, then the length of the orijnal rectangle will be x + 9

In the altered rectangle, the breath is increased by 3, that is x +3 and the length is also increased by 3, that is x +9 +3 = x+12

Now the new formula is,

X2 + 9X + 84 = X(X+3) + 12(X+3)
X2 + 9X + 84 = X2 +3X +12X +36
9X + 84 = 15X +36
15X - 9X = 84 -36
6X =48
X = 48 /6 = 8

This means that the breadth of the orijnal rectangle is 8 cm
The length of the orijnall rectangle is X + 9 = 8+9 =17cm

Ans: The length is 8cm and the breadth is 17cm, respectively.

Hope it helps you!