First question: Answer is D
∵ Area of rectangle is L ⋅ W = 12 ⋅ 6 = 72 [tex]ft^{2}[/tex]
∵ Area of the shaded region is 36 [tex]ft^{2}[/tex]
∴ The area of the unshaded region =
the area of the whole rectangle - the shaded region =
72 - 36 = 36 [tex]ft^{2}[/tex]
∴ The area of the unshaded region = 36 [tex]ft^{2}[/tex]
Second question: Answer is A
∵ Area of triangle is [tex]\frac{1}{2}[/tex]Bh =
[tex]\frac{1}{2}[/tex] ⋅ x ⋅ 4 = 32[tex]ft^{2}[/tex]
∵ Height (h) = 4 ft
∴ Base (B) = [tex]\frac{32}{4}[/tex] ⋅ 2 = 8 ⋅ 2 = 16
∴ Base (B) = 16 ft
Third question: Answer is D
6.009 = 6 + 0.009
Fourth question: Answer is B
104.0032 = One hundred four and thirty-two ten-thousandths
Fifth question: Answer is B
∵ Perimeter of rectangle = 2(W+L) =
2(80+120) = 2 ⋅ 80 + 2 ⋅ 120 = 160 + 240 = 400 [tex]ft^{2}[/tex]
∴ He needs 400 [tex]ft^{2}[/tex] of fencing
