A trapezoid has an altitude of 14 cm. its parallel sides measure 5 and 8 cm, respectively. what is its area? 182 cm�� 91 cm�� 45.5 cm�� 280 cm��
The formula for the area of a trapezoid is: \(A= \frac{a+b}{2} h\)
Substitute: \(A= \frac{(5)+(8)}{2}(14)\)
Simplify: \(A= \frac{13}{2}(14)
\\ A= 6.5*14
\\ A=91\)
The area of the trapezoid is 91 cm.
Answer:
The area of a trapezoid is 91cm² .
Step-by-step explanation:
Formula
\(Area\ of\ a\ trapezoid = \frac{Sum\ of\ parallel\ sides\times Height}{2}\)
As given
A trapezoid has an altitude of 14 cm. its parallel sides measure 5 and 8 cm.
Put in the formula
\(Area\ of\ a\ trapezoid = \frac{(5 +8)\times 14}{2}\)
\(Area\ of\ a\ trapezoid = \frac{13\times 14}{2}\)
\(Area\ of\ a\ trapezoid = \frac{182}{2}\)
Area of a trapezoid = 91 cm²
Therefore the area of a trapezoid is 91cm² .