Question

What is the area of the trapezoid?
6 in
YLSURGER
6 in
12 in
6 cm

Answer 1

1) 54 in²

2) 35 cm²

Explanation:

Area of the trapezoid:

A trapezoid is a quadrilateral with one pair of parallel sides called its bases. The height is perpendicular to its bases.

`\boxed{\text{\bf Area of trapezoid = $\bf ((a+b))/(2)*h$}}`

Here, a and b are the bases and h is the altitude (height).

1) a = 6 in ; b = 12 in ; h = 6 in

`\sf Area \ of \ trapezoid = ((12+6))/(2)*6`

`\sf = (18)/(2)*6\\\\= 9 * 6\\\\= 54 \ in^2`

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2) a = 6 cm ; h = 5 cm

b = 6 + 2 = 8 cm

`\sf Area \ of \ trapezoid = ((6+8))/(2)*5`

`\sf = (14)/(2)*5\\\\= 7*5\\\\= 35 \ cm^2`