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 = [tex]\frac{1}{2}(b_{1}+b_{2})h_{1}+\frac{1}{2}(b)(h_{2})[/tex]
Here [tex]b_{1}[/tex] and [tex]b_{2}[/tex] are the bases of trapezoid
And [tex]h_{1}[/tex] = distance between these bases
b = base of the triangle
[tex]h_{2}[/tex] = height of the triangle
Area of the figure = [tex]\frac{1}{2}(5+7)(5)+\frac{1}{2}(7)(4)[/tex]
= 30 + 14
= 44 square feet
Therefore, 44 square feet of the rug will be required.
