Question

A designer is creating a rug for an oddly shaped room. His design for the rug is shown below. If each blue square represents 1 square foot,how much cloth will the tailor need for the rug.
(answer is NOT 53!)

Answer 1

Answer:

44 square feet of the rug will be required.

Step-by-step explanation:

It's a composite figure having one trapezoid and one triangle.

Area of this composite figure = Area of the trapezoid + Area of the triangle

A = $\frac{1}{2}(b_{1}+b_{2})h_{1}+\frac{1}{2}(b)(h_{2})$

Here $b_{1}$ and $b_{2}$ are the bases of trapezoid

And $h_{1}$ = distance between these bases

b = base of the triangle

$h_{2}$ = height of the triangle

Area of the figure = $\frac{1}{2}(5+7)(5)+\frac{1}{2}(7)(4)$

                              = 30 + 14

                              = 44 square feet

Therefore, 44 square feet of the rug will be required.