A rectangle has a width that is 50% of its length. The length of the rectangle is 12 inches. What is the area of the rectangle. (Help!!)

A rectangle has a width that is 50 of its length The length of the rectangle is 12 inches What is the area of the rectangle Help class=

Respuesta :

Answer:

72 inches²

Step-by-step explanation:

Let [tex]w[/tex] be equal to the width of the rectangle.

Let [tex]l[/tex] be equal to the length of the rectangle.

[tex]\frac{1}{2}l=w[/tex]

Plug in 12 inches as the length

[tex]\frac{1}{2}(12)=w\\6=w[/tex]

Therefore, the width of the rectangle is 6 inches.

[tex]A=lw[/tex]

Plug in 12 inches as the length and 6 inches as the width.

[tex]A=(12)(6)\\A=72[/tex]

Therefore, the area of the rectangle is 72 inches².

I hope this helps!