Question

A quilter created the following shape to use in a block for a new quilt. A six-sided figure with a large base of 10 and three-fifths inches. The side to the right of the base is 6 inches. The small side parallel to the base is 4 and one-fifth inches. There are two sides that form a point at a right angle. The smaller is 4 inches, and the larger is 5 inches. What is the area of the shape for the quilt block? seventy-three and three fifths in2 forty-one and four fifths in2 eighty-three and three fifths in2 one hundred forty-seven and one fifth in2

Answer 1

(a) seventy-three and three fifths square inches

Explanation:

You want to know the area of the quilt block shape shown.

Composite shape

The shape can be considered to be composed of a rectangle 10.6 inches long, together with a right triangle with side lengths 4 and 5 inches.

Area

The relevant area formulas are ...

triangle: A = 1/2bh

rectangle: A = bh

Application

The area of the triangle is ...

A = 1/2(5 in)(4 in) = 10 in²

The area of the rectangle is ...

A = (10.6 in)(6 in) = 63.6 in²

The total area is ...

10 in² +63.6 in² = 73.6 in²

The area of the shape is 73 3/5 square inches.

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