An architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. If 210 feet of antiqu

Question

Aneli [31]

3 years ago

7

An architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. If 210 feet of antiqu

e picket fencing are to be used to enclose the garden, find the dimensions of the garden.

Mathematics

1 answer:

aalyn [17] · Answer 1 · 2022-08-18T09:03:40+03:00

Start by defining your variables. Let the length be L and the width W. Note that W = 2L/3.

Use the Perimeter formula: P = 2W + 2L. Substituting,

P = 2[2L/3] + 2L, or P = 4L/3 + 2L, or P = 4L/3 + 6L/3 = 10L/3 = 210 feet

Then 10L = 630 feet, and L = 63 feet. Thus, W = 2L/3 = 2(63 feet)/3 = 42 feet.

An architect designs a rectangular flower garden such that the width is exactly​ two-thirds of the length. If 210 feet of antiqu

An architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. If 210 feet of antiqu