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

Answer:

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

Step-by-step 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

$W=\frac{1}{4}L$ ----> equation B

substitute equation B in equation A and solve for L

$9=L(\frac{1}{4}L)$

$L^{2}=9*4$

$L^{2}=36$

take square root both sides

$L=6\ units$

Find the value of W

$W=\frac{1}{4}(6)$

$W=1.5\ units$