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kumpel [21]
3 years ago
11

Steve made a sign for his room that is shaped like a triangle. It is 4.5 feet long and 3 feet high. He wants to make another sig

n that is shaped like a triangle and similar to the first sign. The new sign will be 4 feet high.
Part A

Write a proportion that Steve can use to find the length, x, of the new sign.

Part B

What is the length, in feet, of the new sign? Make sure to show your work and explain your reasoning.
Mathematics
1 answer:
Fed [463]3 years ago
6 0

Answer: PART A : \frac{4.4}{x} = \frac{3}{4}

PART B : 5.9 FEET

Step-by-step explanation:

Length of the first sign = 4.4 feet

height of the first sign = 3 feet

Length of the second sign = x feet

height of the second sign = 4 feet

If two shapes are similar , then the ratio of their sides are equal,

That is ;

\frac{h_{1}}{h_{2} } = \frac{L_{1}}{L_{2} }

PART A

\frac{4.4}{x} = \frac{3}{4}

PART B

\frac{4.4}{x} = \frac{3}{4}

cross multiplying , we have

3x = 4.4 x 4

3x = 17.6

Divide through by 3

x = 17.6/3

x = 5.86666666666667

x≈ 5.9 feet

Therefore , the length of the new sign is 5.9 feet

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