Question

A rectangular cardboard has dimensions as shown. The length of the cardboard can be found by dividing its area by its width. What is the length of the cardboard in inches? Rectangle with width labeled on the right, width equals 4 and 1 over 4 inches. Below the rectangle, it says, length equals question mark. Inside the rectangle, it says, area equals 41 and 2 over 3 square inches.

Answer 1

The length of rectangular cardboard=9.8 inches.

Explanation:

We are given that a rectangular cardboard .

The length of cardboard can be found by dividing its area by its width.

We are given that

Width of rectangular board =
`4(1)/(4)=(17)/(4)` inches.

Area of rectangular board =
`41(2)/(3)=(125)/(3)`square inches.

We know that area of rectangle=
`length* breadth`

Length of rectangle=
`(area \; of\; rectangle)/(Width)`

Substitute all given values in the above formula

Therefore, length of rectangular cardboard=
`((125)/(3))/((17)/(4))`

Length of rectangular cardboard=
`(125* 4)/(3* 17)`

Length of rectangular cardboard=
`(500)/(51)`

Length of rectangular cardboard=9.8 inches.

Hence, the length of rectangular cardboard=9.8 inches.

Answer 2

Length = area/width
.. = (41 2/3 in²)/(4 1/4 in)
.. = (125/3 in²)/(17/4 in)
.. = (125/3)(4/17) in
.. = 500/51 in
.. = 9 41/51 in
___
about 9.8039 inches