Question

The bases of the trapezoid are 6 and 10. The height is 4. Find the area.

a. 30 sq. units
b. 32 sq. units
c. 64 sq. units

Answer 1

(B)

Explanation:

Consider a trapezoid whose bases are 6 and 10 and the height is 4, then the area of the trapezoid is given as:

Area= b1+b2/2 h

Area= 6+10/2 (4)

Area= 16 X 2

Area= 32 sq. units

Therefore, the area of the trapezoid is 32 sq. units .

Answer 2

`b. \ \boxed{32 \sq. \ units}`

Explanation:

A trapezoid is a quadrilateral where at least one pair of opposite sides are parallel. In a trapezoid, the both parallel sides are known as the bases of the trapezoid. So we have two bases, namely,
`b_(1)\,and\,b_(2)`. Also, the height
`H` of the trapezoid is the length between these two bases that's perpendicular to both sides. So the area of a trapezoid in terms of of
`b_(1),b_(2)\:and\:H` is:

`A=\frac{(b_(1)\text{+}b_(2))h}{2}`

Since:

`b_(1)=6, \ b_(2)=10, \ and \ H=4`

The area is:

`A=\frac{(6\text{+}10)4}{2}=\boxed{32 \sq. \ units}`