contestada

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��

Respuesta :

puresugar10
The formula for the area of a trapezoid is: [tex]A= \frac{a+b}{2} h[/tex]

Substitute: [tex]A= \frac{(5)+(8)}{2}(14)[/tex]

Simplify: [tex]A= \frac{13}{2}(14)
\\ A= 6.5*14
\\ A=91[/tex]

The area of the trapezoid is 91 cm.

Answer:

The area of a trapezoid is 91cm² .

Step-by-step explanation:

Formula

[tex]Area\ of\ a\ trapezoid = \frac{Sum\ of\ parallel\ sides\times Height}{2}[/tex]

As given

A trapezoid has an altitude of 14 cm. its parallel sides measure 5 and 8 cm.

Put  in the formula

[tex]Area\ of\ a\ trapezoid = \frac{(5 +8)\times 14}{2}[/tex]

[tex]Area\ of\ a\ trapezoid = \frac{13\times 14}{2}[/tex]

[tex]Area\ of\ a\ trapezoid = \frac{182}{2}[/tex]

Area of a trapezoid = 91 cm²

Therefore the area of a trapezoid is 91cm² .

Otras preguntas