Question

The area of a rectangular garden, ABCD, is $100m^2$. Inside the garden there is a rectangular lawn, EFGH, whose sides are parallel to those of the garden. Find the area of the lawn, EFGH(in sq. metres).

• A. $110-5x-\frac{200}{x}$
• B. $110+5x-\frac{200}{x}$
• C. $110+5x+\frac{200}{x}$
• D. $110-5x+\frac{200}{x}$

Answer 1

The correct option is A $110-5x-\frac{200}{x}$

Given $area$ $ABCD$ is $100$ $m^2$ and length is $x$ so breadth is $100/x$

therefore length for the $EFGH$ is $x$ $-(1+1)$ is $(x-2)$ and breadth will be $100/x$ $-(4+1)$ is $\left(100/x\right)-5$

so using area of rectangle formula we get $(x-2)\left(\right(100/x)-5)$ on solving we get the option A.

Hence option A is correct.