Question

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

Answer 1

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