Question

To construct the administration office of the park, the tiles from Building A are to be reused in Building B. If both the buildings have the same area, calculate the breadth of Building B.

• A. 10 m
• B. 20 m
• C. 30 m
• D. 40 m

Answer 1

The correct option is B 20 m

The floor of Building A can be divided into three rectangles as follows:


$Areaofarectangle=Length\times Breadth$

So, for Building A,

Area of the green coloured rectangle$=30m\times 8m=240sq.m.$

Area of the blue coloured rectangle$=60m\times 12m=720sq.m.$

Area of the red coloured rectangle$=20m\times 8m=160sq.m.$


So, total area of Building A will be $=(240+720+160)sq.m$
$=1120sq.m.$

The dimensions of Buiding B are as follows:


Now,
Area of Building A = Area of Building B.

So, $1120sq.m=56m\times Breadth$
$\Rightarrow Breadth=1120÷56=20m$

Hence, the breadth of Building B is $20m$