Question

the length of a rectangle is 8 centimeters less than 3 times the width. write a polynomial that represents the area of the rectangle. find the area of the rectangle when the width is 10 centimeters.

Answer 1

Answer:

$A=3w^2-8w$

When w=10 then A=220 square cm

Step-by-step explanation:

To calculate an area of a rectangle, use the formula A=l*w. We know the length is 8cm less than 3 times the width. So l = 3w - 8.

So the area is $A= (3w - 8)*w = 3w^2-8w$

If the width is 10 then substitute w=10 into the polynmial.

$A= 3w^2-8w\\A=3(10)^2-8(10)\\A=300-80\\A=220$

Answer 2

Answer:

Polynomial: 3w^2 - 8w

Area: 220 centimeters squared

Step-by-step explanation:

3(10)^2 - 8(10)

300 - 80

220