Question

A rectangle has a length of 3 7/8 inches and an area of 6 15/16 square inches. Write an equation that represents the area of the rectangle in terms of its length and width, w.

Answer 1

The answer to your question is w =
`(111)/(62) in`

The equation is below

Explanation:

Data

length = l = 3
`(7)/(8)` in

Area = A = 6
`(15)/(16) in^(2)`

width = w

Formula

Area of a rectangle = length x width

Substitution

Equation

`6 (15)/(16) in^(2) = 3 (7)/(8) w`

Convert the mixed fractions into improper fractions

`(111)/(16) = (31)/(8) w`

Solve for w

`w = (111)/(16) / (31)/(8)`

Simplify

`w = ((8)(111))/((16)(31))`

`w = (111)/(62) in`

Answer 2

6 15/16 = (3 7/8)w

Explanation:

Area is the product of length and width, so for the given area and length, we have ...

6 15/16 = (3 7/8)w