Question

The area of a rectangle is 60 square inches. The length of the rectangle is 7 inches longer than the width.

Answer 1

Answer:

5 and 13 ...........

.......

Answer 2

Answer:

Given area = 60 sq inch

Let the breadth be x inches.

Then its length will be x + 7 inches.

Area of rectangle = 60

l × b = 60

$(x + 7)\: \times \: x = 60 \\ \\ {x }^{2} + 7x = 60 \\ \\ {x}^{2} + 7x - 60 = 0 \\ \\ {x}^{2} + 12x - 5x - 60 = 0 \\ \\ x(x + 12) - 5 \: (x + 12) = 0 \\ \\ (x + 12) \: (x - 5) = 0 \\ \\ x = - 12 \: \: or \: \: x = 5$

But sides of rectangle cannot be negative. Therefore x = 5.

So,

Breadth = x = 5 inches

Length = x + 7

= 5 + 7

= 12 inches.

Hope it helps.