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.
-
8m
- 14m
- 16m
- 24m
The correct answer is: A
Explanation
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.