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HURRY THIS IS 60 POINTS PLEASE HELP NOW

A figure is decomposed into 2 trapezoids. Both trapezoids have a base of 20 centimeters, height of 7 centimeters, and top side length of 16 centimeters.
Find the area of the composite figure.
126 cm2
140 cm2
252 cm2
280 cm2

Respuesta :

Answer:

252 cm²

Step-by-step explanation:

2[½ × (20 + 16) × 7]

36 × 7

252

Answer:

252 [tex]cm^{2}[/tex]

Step-by-step explanation:

To find the area of a trapezoid, you must add both the bases up then divide by two. After that you must multiply that by the height.

[tex]\frac{a+b}{2} h[/tex] here is the formula where a and b are the bases.

[tex]\frac{20+16}{2} * 7[/tex]

Simplify.

[tex]\frac{36}{2} * 7\\\\18*7\\= 126[/tex]

That is the area of one trapezoid and since there are two of the same trapezoids, you must multiply by two.

[tex]126 * 2 = 252[/tex]

Therefore your answer is 252 cm^2.