Question

The ratio of the base and corresponding height of a parallelogram is 4 : 3. If the area of the parallelogram is 48 $m^2$, find the measurement of its base and height.

• A. 12 m, 10m
• B. 8 m, 4m
• C. 10 m, 6m
• D. 8 m, 6m

Answer 1

The correct option is D 8 m, 6m

The area of the parallelogram 'A' = 48 $m^2$
The ratio of the base and the height of the parallelogram = 4 : 3
Let the length of the base and height = 4x and 3x respectively.
We know that $b\times h$ = A
$4x\times 3x$ = 48
$12x^2$ = 48
$x^2$ = 4
x = 2
Therefore, the length of the base = 4x = 4 × 2 = 8 m.
The height of the parallelogram = 3x = 3 × 2 = 6 m