Question

2a. Find the area of the shape.
1
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184
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-10 in.

Answer 1

The trapezium's area is calculated using the formula:
`\(\text{Area} = (1)/(2) * (7 + 10) * 8\)`, resulting in 68 square inches.

To find the area of a trapezium, we use the formula:

`\[ \text{Area} = (1)/(2) * (a + b) * h \]`

where (a) and (b) are the lengths of the two parallel sides, and (h) is the height perpendicular to those sides. In this case, the lengths of the parallel sides are 7 inches and 10 inches, and the height is 8 inches.

Plugging in these values into the formula:

`\[ \text{Area} = (1)/(2) * (7 + 10) * 8 \]`

`\[ \text{Area} = (1)/(2) * 17 * 8 \]`

`\[ \text{Area} = 68 \, \text{square inches} \]`

Therefore, the area of the trapezium is 68 square inches.

In summary, the area of the trapezium with parallel sides measuring 7 inches, 10 inches, and a height of 8 inches is 68 square inches.