Question

the perimeter of a rectangle is 53 meters. The length is 2.3 meters longer than the width,w. Write and solve and equation to find the width of the rectangle.

Answer 1

12.1 meters

Explanation:

P = 2L + 2w

53 = 2(L+w)

53/2 = L + w

(53/2)-L = w

L = w + 2.3

L = (53/2)-L + 2.3

2L = 53/2 + 2.3

2L = 26.5 + 2.3

2L = 28.8

L = 14.4

w = 53/2 - 14.4

= 26.5 - 14.4

Therefore the answer is = 12.1

Have a nice day if you have any more questions let me know in the comments

Answer 2

perimeter = 2*(length + width)
53 m = 2*(2.3 m +w) . . . . an equation to find the width, w
26.5 m = 2.3 m +w . . . . . divide by 2
24.2 m = w . . . . . . . . . . . subtract 2.3 m

The width of the rectangle is 24.2 m