Question

The doormat which is in a hexagonal shape has the following measures as given in the figure. Find its area.

• A. $2560c{m}^2$
• B. $3800c{m}^2$
• C. $4580c{m}^2$
• D. $5600c{m}^2$

Answer 1

The correct option is D $5600c{m}^2$

Area of the doormat = Area of 2 trapezium

Given that,
Height of the trapezium
= 70 /2 cm
= 35 cm

Length of two parallel sides are 90 cm and 70 cm.

Area of the trapezium
= (½) $\times$ h $\times$ (a + b)

= (½) $\times$ 35 $\times$ (90 + 70)

= $2800c{m}^2$

Hence, area of doormat
= 2 $\times$ 2800
= $5600c{m}^2$