Question

1. what is the perimeter of the polygon?
2. a parallelogram has an area of 58.24 square inches and a base of 9.1 inches. what is the height?

Explanation:

Step1: Recall the formula for the perimeter of a polygon

The perimeter \(P\) of a polygon is the sum of the lengths of all its sides.

Step2: Add the lengths of the sides

The side lengths are \(8\) cm, \(11\) cm, \(9\) cm, \(10\) cm, and \(17\) cm.

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Step1: Recall the formula for the area of a parallelogram

The area \(A\) of a parallelogram is given by \(A = b\times h\), where \(b\) is the base and \(h\) is the height.

Step2: Solve for the height \(h\)

We know \(A = 58.24\) square inches and \(b=9.1\) inches. Rearranging the formula for \(h\), we get \(h=\frac{A}{b}\).

$$ h=\frac{58.24}{9.1}=6.4 $$

Answer:

A. 55 cm