Mensuration Practice Test 9

Question : 15 of 40

Marks: +1, -0

The perimeter and area of a rectangle area 92 cm and 520 sq. cm. Find the difference in its length and width.

Solution:

Perimeter of the rectangle = 92 cm
2(l + b) = 92
l + b = 46
Area of the rectangle = 520
l × b = 520

(l - b)^2

(l + b)^2

- 4 lb =

(46)^2

- 4 × 520

(l - b)^2

= 2,116 - 2,080

(l - b)^2

= 36
l - b = 6 cm

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