Answered

James has a piece of construction paper with an area of 65 1/4 inches. it is 9 2/3 inches long. What is the width of the pieces of construction paper in inches



Answer :

L X W = A…. A/L = W.

65.25/9.66 = 6.75 (6  3/4)

Answer-

The width of the pieces of construction paper is [tex]6\dfrac{3}{4}\ \text{inch}[/tex]

Solution-

James has a piece of construction paper with an area [tex]65\dfrac{1}{4}=\dfrac{261}{4}[/tex] inch²

Length of the paper is [tex]9\dfrac{2}{3}=\dfrac{29}{3}[/tex] inch

We know that,

[tex]\text{Area}=\text{Length}\times \text{Width}[/tex]

Putting the values,

[tex]\Rightarrow \dfrac{261}{4}=\dfrac{29}{3}\times \text{Width}[/tex]

[tex]\Rightarrow \text{Width}=\dfrac{261}{4}\times \dfrac{3}{29}[/tex]

[tex]\Rightarrow \text{Width}=\dfrac{9\times 3}{4}[/tex]

[tex]\Rightarrow \text{Width}=\dfrac{27}{4}[/tex]

[tex]\Rightarrow \text{Width}=6\dfrac{3}{4}\ \text{inch}[/tex]

Therefore, the width of the pieces of construction paper is [tex]6\dfrac{3}{4}\ \text{inch}[/tex]