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Note: Figure is not drawn to scale.

If x=3 units, y=5 units, and h = 6 units, find the area of the trapezoid shown above using decomposition.

A.
18 square units
B.
33 square units

C. 78 square units

D. 48 square units​

Note Figure is not drawn to scaleIf x3 units y5 units and h 6 units find the area of the trapezoid shown above using decompositionA18 square unitsB33 square uni class=

Respuesta :

Answer:

D

Step-by-step explanation:

The trapezoid is composed of a rectangle and 2 congruent right triangles

area of rectangle = xh = 3 × 6 = 18 units²

area of 2 triangles

= 2 × [tex]\frac{1}{2}[/tex] yh

= 1 × 5 × 6 = 30 units²

Thus area of trapezoid = 18 + 30 = 48 units² → D

livin2dayoy1txj
The rectangle area is 18 plus the two triangles are 15 each. So, 15 + 15 = 30. Add them all together 18 + 30 is 48.

The answer is D — 48 square units

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