Mathematics
16.02.2023 04:45
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If x = 5 units, y = 6 units, and h = 6 units, find the area of the trapezoid shown

If x = 5 units, y = 6 units, and h = 6 units, find the area of the trapezoid shown above using decomposition. A. 102 square units B. 30 square units C. 66 square units D. 48 square units
If x = 5 units, y = 6 units, and h = 6 units, find the area of the trapezoid shown above using deco
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ayeletstrauss
ayeletstrauss
4,8(43 marks)

C. 66 square units

Step-by-step explanation:

The area of the middle rectangle would by base × height, or y × h, or 6 × 6.

The area is 36.

The area for one triangle would 1/2 × base × height.

(But since there are two triangles to solve for, the 1/2 is not necessary, and we can just do base × height again.)

So, it would be x × h, or 5 × 6.

The area is 30.

Combine both areas to get the whole area of 66 units²

meramera50
meramera50
4,4(34 marks)
They're similar because the same character is used to print both of them. But their values are different in a ratio of 10 to 1 .

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