Question

A rectangle width is one fourth it’s length, outs are is 9 square units. The equation I(1/4I)=9 can be used to find I, the length of the rectangle.

Answer 1

The length of rectangle is 6 units and the width is 1.5 units

Explanation:

Let

L -----> the length of rectangle

W ----> the width of rectangle

we know that

The area of rectangle is equal to

`A=LW`

we have

`A=9\ units^(2)`

so

`9=LW` -----> equation A

A rectangle width is one fourth it’s length

so

`W=(1)/(4)L` ----> equation B

substitute equation B in equation A and solve for L

`9=L((1)/(4)L)`

`L^(2)=9*4`

`L^(2)=36`

take square root both sides

`L=6\ units`

Find the value of W

`W=(1)/(4)(6)`

`W=1.5\ units`