# math homework help~~~~~~~?

a school has a square playground with each side measuring 120 feet. a scale drawing of the playground uses the scale 1 /2 inch equals 12 feet.what is the length of a side of the playground on this scale drawing?

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• A school has a square playground with each side measuring 120 feet.

A scale drawing of the playground uses the scale 1/2 inch equals 12 feet.

The length of a side of the playground on this scale drawing is 5 inches.

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• if 0.5" = 12'

0.5"x10 = 12'x10

5" = 120'

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• A school has a square playground with each side measuring 120 feet.

A scale drawing of the playground uses the scale 1/2 inch equals 12 feet.

What is the length of a side of the playground on this scale drawing?

5 inches is the length of a side of the playground on this scale drawing.

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• if 12'=0.5''

120'=5.0"

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• (1/2) [in] rep 12 [ft].  10*(1/2) [in] rep 10*12 [ft].  5 [in] rep 120 [ft]. Answer = 5 [in].

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• You can set this up as a Ratio and Proportion problem.

Real feet : drawing inches  :: real feet : drawing inches

Real . . . . Drawing

-------- = --------------

Real . . . . Drawing

12 feet . . . .0.5 inches

---------- = ------------------

120 feet = . x inches

1) Cross multiply

12x = (120)(0.5)

2) Solve the parentheses

12x = 60

3) Divide both sides by 12 to isolate x

x = 5

On the scale drawing, the side of 120 feet is represented by a line 5 inches long.

----------------------

You can also figure it out by logic.

On the scale drawing, a 12-foot section of wall is represented by a line that is 1/2 inch long.

You need 10 of these half-inches to represent a line 120 feet long.

Ten pieces, each 1/2 an inch long, add up to a line that is 5 inches long

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• How many 12 feet sections are in 120 feet

120 / 12 = 10

The scale drawing will need 10 of the 1/2 inch sections

10 * 1/2 = 5

5 inches <––––––

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• It’ll be 5 inch by 5 inch.

1 inch = 24 ft.

120 ft/24 ft  = 5

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