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 16 inches. The side to the right of the base is 9 inches. The small side parallel to the base is 6 and two fifths inches. There are two sides that form a point at a right angle. The smaller is 6 inches, and the larger is 7 and one-half inches.

HELP ASAP!!!
What is the area of the shape for the quilt block?

ninety-four and one half in2
one hundred sixty-six and one half in2
189 in2
333 in2

Answer 1

To find the area of the shape for the quilt block, calculate the area of each part separately and add them up.

Step-by-step explanation:

To find the area of the shape for the quilt block, we need to break it down into different parts and calculate the area of each part separately.

First, calculate the area of the large base: 16 inches x 9 inches = 144 square inches

Next, calculate the area of the small side parallel to the base: 6 and two fifths inches x 16 inches = 104 square inches

Then, calculate the area of the right angle side: (6 inches x 7 and one-half inches) / 2 = 22.5 square inches

Finally, add up the areas of all the parts: 144 square inches + 104 square inches + 22.5 square inches = 270.5 square inches

Therefore, the area of the shape for the quilt block is 270.5 square inches.