A rectangular countertop has a perimeter of 26 feet. its area is 30 square feet. what are the dimensions of the counter?

Mathematics

1 answer:

Sladkaya [172]3 years ago

4 0

P=26=2*(l+L)
⇒ l+L=26:2=13 feet
l=3, L=10

A=l*L=30=10*3

⇒ l=3 feet
L=10 feet

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Please help! Thanks! Show work!

geniusboy [140]

Answer: The toy should be 2.4 inches tall

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Explanation:

First convert 6 ft to inches
6 ft = (6 ft)*(12 in/1 ft) = (6*12) inches = 72 inches

So, 6 ft = 72 inches

The toy is manufactured with a scale of 1:30 meaning that the toy is 1 unit tall compared to the soldier which is 30 units tall. The soldier is 30 times taller than the toy. We can therefore form the ratio

1/30 = x/72

where x is the height of the toy soldier in inches

Cross multiply and solve for x

1/30 = x/72
1*72 = 30*x
72 = 30*x
72/30 = 30*x/30
72/30 = x
x = 72/30
x = 12/5
x = 2.4

So the toy should be 2.4 inches tall.

Note how 30 times 2.4 gives us
30*2.4 = 72
which fits with the theme that the real soldier is 30 times taller than the toy counter part.

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2 years ago

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slavikrds [6]

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