A piece of rod of length 44 m is cut to form a rectangular shape such that the ratio of the length to the breadth is 7: 4. Find the breath.
A
8m
B
14m
C
16m
D
24m
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
Perimeter of a rectangle = 2(L + B) = length of rod = 44 m
The ratio of length to breadth = 7: 4
That is, \(\frac{L}{B}\) = \(\frac{7}{4}\)
So, L = \(\frac{7B}{4}\)
Perimeter of a rectangle = 2(\(\frac{7B}{4}\)+ B) = 44
Divide through by 2
(\(\frac{7B}{4}\)+ B) = 22
(\(\frac{11B}{4}\)+ B) = 22
cross multiply
11B = 22 x 4 = 88
B = (\(\frac{88}{11}\) = 8m.
Source: Myschool Past Questions Archive (Record #71795)