The perimeter of a rectangular garden is 90 m. If the width is 7 m less than the length, find the length of the garden.
A
19 m
B
23 m
C
24 m
D
26 m
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
Let the length of the garden be x, then, the width = x - 7
perimeter of rectangle = 2(L + B) = 90 m
= 2(x + x - 7) = 90
= 2x - 7 = 45 ( after dividing through by 2)
= 2x = 45 + 7 = 52
x = \(\frac{52}{2}\) = 26 m
Thus, the length of the rectangular garden = 26 m.
Source: Myschool Past Questions Archive (Record #71831)