Question

The length and breadth of a rectangle are in the ratio 4 : 3 and if the area of the rectangle is 1728 sq .units, then find the length and breadth of the rectangle

• A. 45 units and 16 units
• B. 48 units and 36 units
• C. 58 units and 26 units
• D. 144 units and 12 units

Answer 1

The correct option is B

48 units and 36 units

Given that length and breadth of the rectangle is in the ratio 4 : 3.

Let the length be 4$x$ and breadth be 3$x$

Given area = 1728 sq.units

Area of a rectangle = length $\times$ breadth = 4$x$ $\times$ 3$x$

$\Rightarrow$ 1728 = 12 $x^2$

$\Rightarrow$ $x^2$ = 144

$\Rightarrow$ $x$ = 12

Hence, length = 4 $\times$ 12 = 48 units, and

breadth = 3 $\times$ 12 = 36 units