Jason is working in his garden. The garden is triangular. The length of the longest side is 10 feet. He uses a portion of the garden for herbs. The portion is a similar triangle whose longest side is 4 feet. What is the percentage of the area of the herb garden compared to the area of the entire garden?

Question

Mathematics

Aracely Zimmerman

1 April, 07:18

Jason is working in his garden. The garden is triangular. The length of the longest side is 10 feet. He uses a portion of the garden for herbs. The portion is a similar triangle whose longest side is 4 feet. What is the percentage of the area of the herb garden compared to the area of the entire garden?

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Sundance · Answer 1

To get the percentage of area we shall proceed as follows:

linear scale factor = length of herb / length of garden

=4/10

but

area scale factor = (linear scale factor) ^2

area scale factor = (2/5) ^2=4/25

thus the percentage area proportion will be:

4/25*100

=16%