Question

solve.
7 a quilt piece is in the shape of a trapezoid. the top parallel side measures 4 cm and the bottom parallel side measures 8 cm. the height is 5 cm. what is the area of the quilt piece?
8 a metal wastebasket has a 6 in. by 6 in. square bottom and an open square top 10 in. by 10 in. each side of the wastebasket is a trapezoid with a height of 12 in. how many square inches of metal make up the wastebasket?
9 stretch your thinking the measurements given are rounded to the nearest foot. use these measurements to find the approximate area of the trapezoid. describe your method.

Explanation:

Step1: Recall the formula for the area of a trapezoid

The formula for the area of a trapezoid is \(A=\frac{(b_1 + b_2)h}{2}\), where \(b_1\) and \(b_2\) are the lengths of the parallel sides and \(h\) is the height.

Step2: Identify the values of \(b_1\), \(b_2\), and \(h\)

Given \(b_1 = 4\space cm\), \(b_2=8\space cm\), and \(h = 5\space cm\).

Step3: Substitute the values into the formula

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Answer:

The area of the quilt piece is \(30\space cm^{2}\).