The sides of a rectangle are in the ratio of 4:5. If the width is 28 in., find the length, the perimeter, and the area of this r

Question

MissTica

3 years ago

14

The sides of a rectangle are in the ratio of 4:5. If the width is 28 in., find the length, the perimeter, and the area of this r

ectangle

Mathematics

1 answer:

marin [14] · Answer 1 · 2022-05-22T06:29:17+03:00

marin [14]3 years ago

3 0

Assuming the ratio of 4:5 represents the ratio of width:length then we can set up a simple proportion to find the length...
$\frac{4}{5} = \frac{28}{L}$
L = 5(28)÷4
L = 35

Now we can find the perimeter and area of the rectangle:
A = LW
A = 28(35) = 980

P = 2L + 2W
P = 2(35) + 2(28) = 126