Answer:
[tex]Area = 72[/tex]
Step-by-step explanation:
From the attachment, we can see that the floor has a trapezium shape with the following dimensions.
[tex]Height = 6yd[/tex]
The parallel sides (P1 and P2) are:
[tex]P_1 = 10 + 4 = 14[/tex]
[tex]P_2 = 10[/tex]
The square yard needed to cover the floor is the area of the trapezium surface and this is calculated as follows:
[tex]Area =\frac{1}{2} * (Sum\ of\ parallel\ sides) * Height[/tex]
[tex]Area =\frac{1}{2} * (P_1 + P_2) * Height[/tex]
[tex]Area = \frac{1}{2} * (10 + 14) * 6[/tex]
[tex]Area = \frac{1}{2} * (24) * 6[/tex]
[tex]Area = 12 * 6[/tex]
[tex]Area = 72[/tex]
Hence, 72 square yards is needed to cover the floor
