Question

Find the area of the trapezoid shown below. Given that $AD\parallel BC$

• A. 80 sq. unit
• B. 80.50 sq. unit
• C. 81 sq. unit
• D. 82 sq. unit

Answer 1

The correct option is B 80.50 sq. unit

Given,
BC = 13 units
AD = 10 units
Height of the trapezoid $=7$ units
AD is parallel to BC

As we know,
Area of a trapezoid $=\frac{1}{2}\times$ (sum of the parallel sides)$\times h$

$=\frac{1}{2}\times (BC+AD)\times DE$

$=\frac{1}{2}\times (13+10)\times 7$

$=\frac{23\times 7}{2}=80.5$ sq. unit

Option (b) is correct.