Set 56
- b.Each figure except trapezoid B has a perimeter of 84 feet; its
perimeter measures only 80 feet. - d.Apply the formula p = nsto each choice. In choice a, the
perimeter of the backyard measures 12 feet ×4 sides, or 48 feet. In
choice b, the perimeter of the pool measures 8 feet ×6 sides, or 48
feet. In choice c, the perimeter of the patio measures 6 feet × 8
sides, or 48 feet. In choice d, the perimeter of the Jacuzzi measures
4 feet by 10 sides, or 40. It is obvious that the Jacuzzi has a
different perimeter. - a.Since Square S has four sides that are slong, its perimeter is 4s.
Since Rectangle R has a perimeter that is twice as large as square S,
the perimeter of rectangle R is (4s)(2) = 8s. It is also known the that
the length of rectangle R is 3sso put these things into the
perimeter formula and solve for width:
P= 2l+ 2w
8 s= 2(3s) + 2w
8 s= 6s+ 2w
2 s= 2w
w= s - a.To find the measure of each side, change the formula p = nsto
np= s. Plug each choice into this formula. In choice a, the sides of
the nonagon measure ^990 sifdeeest, or 10 feet per side. In choice b, the
sides of the triangle measure ^237 sifdeeest, or 9 feet per side. In choice c,
the sides of the heptagon measure ^673 sifdeeest, or 9 feet per side. In
choice d, the sides of the octagon measure ^782 sifdeeest, or 9 feet per side. - c.To find the number of sides a figure has, change the formula
p = nsto ps= n. Plug each choice into this formula. Choices aand b
have 12 sides. In choice c, figure C has 13 sides.
501 Geometry Questions