Question

meiko is hanging a picture - collage on her wall. it is in the shape of a parallelogram. how much wall area will it cover?
(there is a diagram of a parallelogram with a height of 28 in., a side length of 32 in., and a base of 18 in.)
options:
156 in.²
252 in.²
504 in.²
576 in.²

Explanation:

Step1: Recall the formula for the area of a parallelogram

The formula for the area of a parallelogram is \(A = base\times height\).

Step2: Identify the base and height

From the given figure, the base \(b = 18\) inches and the height \(h=28\) inches. (The side length of \(32\) inches is not the height corresponding to the base of \(18\) inches. The height is the perpendicular distance between the two parallel sides, which is \(28\) inches here.)

Step3: Calculate the area

Substitute the values into the formula: \(A=18\times28\).

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Answer:

\(504\ \text{in.}^2\) (the third option)