Question

Question 121

Ramesh grew wheat in a rectangular field that measured 32 metres long and 26 metres wide. This year he increased the area for wheat by increasing the length but not the width. He increased the area of the wheat field by 650 square metres. What is the length of the expanded wheat field?

Answer 1

Given, dimensions of a rectangular field $32m\times 26m$ and area increased $=650m^2$

$\therefore$ Increased area of wheat field = Area of EFGH - Area of ABCD
$\Rightarrow 650=EF\times EH-AB\times AD$
[$\because$ area of rectangle $=length\times breadth$]
$\Rightarrow 650=EF\times 26-32\times 26$
$\Rightarrow 650=EF\times 26-832$
$\Rightarrow 1482=26EF\Rightarrow EF=\frac{1482}{25}$
$\Rightarrow EF=57m$
Hence, the length of the expanded wheat field is 57 m.