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

Answer:

The answer to your question is w = $\frac{111}{62} in$

The equation is below

Step-by-step explanation:

Data

length = l = 3 $\frac{7}{8}$ in

Area = A = 6 $\frac{15}{16} in^{2}$

width = w

Formula

Area of a rectangle = length x width

Substitution

Equation

                        $6 \frac{15}{16} in^{2} = 3 \frac{7}{8} w$

Convert the mixed fractions into improper fractions

$\frac{111}{16} = \frac{31}{8} w$

Solve for w

$w = \frac{111}{16} / \frac{31}{8}$

Simplify

$w = \frac{(8)(111)}{(16)(31)}$

$w = \frac{111}{62} in$                

             

Answer 2

Answer:

  6 15/16 = (3 7/8)w

Step-by-step 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