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36 votes
36 votes
Please help! Stuck on this problem

Please help! Stuck on this problem-example-1
User Fizi
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2 Answers

19 votes
19 votes
It’s A
What scale did hank use
User Nicolas Charvoz
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12 votes
12 votes

Answer:

a. 1/72

b. 225 ft²

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.

__

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.

User Rosenthal
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