Question

The ratio of width to length of a rectangle is 7:10. The width of the rectangle is 91 cm. Write and solve a proportion to find the length - please help me to solve it.

Answer 1

To find the length of the rectangle, set up the proportion 7/10 = 91/x and solve for x. The length of the rectangle is approximately 130 cm.

Step-by-step explanation:

To find the length of the rectangle, we can set up a proportion using the given ratio of width to length. The ratio is 7:10, which means the width is 7 units and the length is 10 units. We are given that the width is 91 cm, so we can write the proportion as 7/10 = 91/x, where x is the length. Now we can cross-multiply and solve for x:

7x = 10 * 91

7x = 910

x = 910 / 7

x ≈ 130 cm

Answer 2

`length=130cm`

Step-by-step explanation:

Here we have , The ratio of width to length of a rectangle is 7:10. The width of the rectangle is 91 cm. We need to Write and solve a proportion to find the length. Let's find out:

According to the given scenario, ratio of width to length is 7:10 , So

⇒
`(width)/(length) = (7)/(10)`

width of the rectangle is 91 cm

⇒
`(91)/(length) = (7)/(10)`

⇒
`(91(length))/(length) = (7(length))/(10)`

⇒
`91 = (7(length))/(10)`

⇒
`(91(10))/(7) =length`

⇒
`length= (91(10))/(7)`

⇒
`length=130cm`

Therefore,
`length=130cm` .