Question

A farmland shown in the figure below has a length of 15 m and breadth of 10 m. Pea is cultivated in the small area ABCD and in the remaining portion, paddy is cultivated. ABCD is a square with length 4 m. Find the area of the land where paddy is cultivated.

• A. $134m^2$
• B. $150m^2$
• C. $16m^2$
• D. $1500m^2$

Answer 1

The correct option is A

$134m^2$

We can get the area of the land where paddy is cultivated by subtracting the area of square ABCD from the area of the rectangle DEFG.

We know that, area of a rectangle = length x breadth
And area of a square = side x side
Area of rectangle DEFG = DE x EF = 15 x 10 = 150 $m^2$
Area of square ABCD = $A{B}^2$ (The area of a square of side length 'a' is $a^2)$
$=4\times 4=16m^2$
$\therefore$ Area of the land where paddy is cultivated
= Area of AEFGCB
= Area of rectangle DEFG - area of rectangle ABCD
= 150 - 16
= $134m^2$