Question

The area of a rectangular patio is 12 3/8 square meters.the width of the patio is 2 3/4 meters.what is the length?

Answer 1

Length = 4 1/2

Turn both mixed numbers into improper fractions

99/8 ÷ 4/11

Find the reciprocal of 4/11.

99/8 ÷ 11/4

Flip the division sign into a multiplication sign + simplify.

99/8 x 11/4 = 396/88.

= 4 1/2

Answer 2

`4(1)/(2)` meters.

Explanation:

We know that,

The area of a rectangle is,

`A=l* w`

Where,

l = length,

w = width,

Here,

A =
`12(3)/(8)\text{ square meter}`

w =
`2(3)/(4)\text{ meter}`

By substituting the values,

`12(3)/(8)=2(3)/(4)* l`

`(99)/(8)=(11)/(4)l`

`396=88l`

`\implies l = (396)/(88)=4(1)/(2)`

Hence, the length of the patio would be
`4(1)/(2)` meters.