Question

A quilter created the following shape to use in a block for a new quilt.

What is the area of the shape for the quilt block?

Answer 1

Answer: 166.5 inch.

Step-by-step explanation:

There are a lot of steps to this. First of all, as seen in the picture below, we split the shape into a triangle and a rectangle. We can first find the area of the triangle first, which would be:

`(45)/(2)` = 22.5 inch.

Next, using the pythagoras theorem, we can find the missing side of the triangle. So, we do:

`√(7.5^2+6^2) = x\\\\(3√(41) )/(2) = x = 9.6`

Now we have that side, we can calculate the area of the rectangle, which would be 16 x 9 = 144 inch.

So now we can add both areas:

144 + 22.5 = 166.5 inch.