Answer:
a. 1/72
b. 225 ft²
Step-by-step explanation:
a.
The scale is usually represented as the ratio of drawing size to actual size. Since it is generally easier to work with whole numbers, we'll use the longer dimensions of the tomato patch to find the scale:
drawing/garden = (2 in)/(12 ft) = (1 in)/(6 ft) = (1 in)/(72 in) = 1/72
Hank used a scale of 1/72.
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b.
The total length of the garden is ...
length of tomato patch + length of zucchini patch
= 1 1/2 in + 1 5/8 in = 3 1/8 in
As we saw above, each inch represent 6 ft, so the actual length of the garden is ...
(3 1/8)(6 ft) = 18 3/4 ft
The area of the garden is the product of its length and width:
A = (18 3/4 ft)(12 ft) = 225 ft²
The area of the real garden is 225 square feet.
