Question

3. The length of a rectangle is 16 m less than two times its breadth. If the perimeter of the rectangle is 112 m, find the length and the breadth.
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Answer 1

Step-by-step explanation:

Let the length of the rectangle be x and breadth of a rectangle be y respectively.

According to the first condition,

x = 2y - 16

x - 2y = -16 .... (i)

According to the second condition,

2(x + y) = 112

x + y = 112

2

x + y = 56 .... (ii)

Subtracting equation i and ii,

x - 2y = -16

- x + y = 56

-3y = -72

y = -72

-3

y = 24

Substituting value of y in equation ii,

x + y = 56

x + 24 = 56

x = 56 - 24

x = 32

Length of a rectangle = 32 m

Breadth of a rectangle = 24 m