Question

There is a square plot of side $13m$. A farmer wants to grow grass on half of his field and plough the remaining land. Find the area of the land used for growing grass.

• A. $84.5m^2$
• B. $169m^2$
• C. $52m^2$
• D. $89m^2$

Answer 1

The correct option is A $84.5m^2$

Given,
side length of square field, $a=13m$

Area of the square field is given by,
$A=a^2$
$A={13}^2{m}^2=169m^2$

It is given that the area on which grass is grown is half of square field.
Hence, the area on which grass is grown,
$A^{\prime }=\frac{A}{2}$
$\Rightarrow A^{\prime }=\frac{169}{2}$
$\Rightarrow A^{\prime }=84.5m^2$
Area of the land used for growing grass = $84.5m^2$