Question

A rectangle of perimeter 74 cm is 7 cm longer than its
width.
What is the length of each side?
​

Answer 1

Answer:

Step-by-step explanation:

Perimeter of rectangle = 74 cm

Let the width of rectangle be= x cm

Therefore, Length =( x+7) cm

Perimeter of rectangle = 2(l+b)

Therefore,

74 = 2(x+x+7)

37 = 2x+7

37-7 = 2x

30 = 2x

x = 30/2

x=15 cm

Width = 15 cm

Length = x+7

            = 15+7

              =22 cm

THEREFORE,

LENGTH = 22 cm

WIDTH = 15 cm

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Answer 2

Answer:

Step-by-step explanation:

Let length be X

So width = X +7

Perimeter of rectangle =74

We know perimeter of rectangle is 2(l+b)

So 2(l+b) = 74

2(X + X+ 7 ) = 74

2(2X+7)= 74

4X+14 = 74

4X = 74-14

4 X= 60

X = 60÷ 4

= 15

Therefore length of rectangle is 15