Question

In the given figure, the area of the square DEBF and the area of the parallelogram ABCD are __ and __ respectively.

• A. 1600sq.m, 2800sq.m
• B. 2800sq.m, 1600sq.m
• C. 4900sq.m, 3500sq.m
• D. 1600sq.m, 3500sq.m

Answer 1

The correct option is A 1600sq.m, 2800sq.m

In the figure given, DEBF is the square. DF is the side of this square.
given: DF = 40m.
$\text{Area of the square DEBF}=\text{side}\times \text{side}$
$=40\times 40=1600\text{sq. m}$
ADCB is the parallelogram.
$\text{Area of the parallelogram}=\text{base}\times \text{height}$
Given: AB is the base of the parallelogram = 70m
Height of the parallelogram = DF = 40m
$\therefore$ Area of the parallelogram ADCB
= $70\times 40=2800$ sq. m