Answers
Set 55
- a.To find the perimeter, multiply the number of sides by the
measure of one side. Octagons have eight sides and the question
states that each side measures 5 feet.The perimeter of this
Victorian gazebo is p= 8 ×5. - c.Work backwards by putting the given information into the
perimeter formula for rectangles and then solve for w:
P= 2l+ 2w
54 = 2(18) + 2w
54 = 36 + 2w
18 = 2w
w= 9 meters - c.Plug the numbers into the formula: p= ns. 1600 = 4s. 400 = s.
- b.A proportion can find an unknown side of a figure by using known
sides of a similar figure; a proportion can also find an unknown side
using known perimeters. =. Cross-multiply: 93s= 24 ×31. - d.Since they want the garden to be twice as long as it is wide, let
the width = xand the length = 2x. Then work backwards by
putting the width = xand the length = 2xinto the perimeter
formula for rectangles and then solve for x:
P= 2l+ 2w
72 = 2(2x) + 2(x)
72 = 4x+ 2x
72 = 6x
x= 12 meters, so the width will be 12 meters and the length will be
24 meters.
^31
s
^93
24501 Geometry Questions