Question

The length of a rectangle which is $25cm$ is equal to the side of a square, and the area of the rectangle is $125c{m}^2$ less than the area of the square. What is the breadth of the rectangle?

• A. $20cm$
• B. $25cm$
• C. $40cm$
• D. $15cm$

Answer 1

The correct option is A $20cm$

Area of the square $=(25\times 25)c{m}^2=625c{m}^2$
$\therefore$ Area of the rectangle $=(625-125)c{m}^2$$=500c{m}^2$
$\therefore$ Breadth of the rectangle $=\frac{Area}{Length}=\frac{500}{25}cm=20cm$