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The perimeter of a rectangle id 192 ft. The ratio of its length to its width is 7:5. What are the dimensions of the rectangle?

60 ft by 36 ft
56 ft by 40 ft
48 ft by 48 ft
44 ft by 52 ft

User Udondan
by
8.8k points

1 Answer

4 votes

Answer:

56 ft by 40 ft

Step-by-step explanation:

If we let x represent the multiplier for the ratio, then the perimeter is ...

... 2 × (7x +5x) = 24x = 192 ft.

Dividing by 24 gives

... x = 8 ft.

The dimensions are 7 and 5 times this multiplier, or ...

... 7×8 ft = 56 ft . . . . by . . . . 5×8 ft = 40 ft

User Blklight
by
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