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 width of Building B.

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

Answer 1

The correct option is B 20 ft

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


$Areaofarectangle=Length\times Width$

So, for Building A,

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

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

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


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

The dimensions of Buiding B are as follows:


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

$So,1120sq.ft=56ft\times Width$
$\Rightarrow Width=1120÷56=20ft.$

$\text{Hence, the width of Building B is}20ft$