Question

Jared sells square frames of various sizes made of wood. To find the area of a frame, Jared uses the formula A = s^2 - (s - 2w)^2, where s is the length of a side of the frame and w is the width of the frame.

Part B.) Find the area of a frame that measures 20 inches on each side and has a width of 3 inches

Part C.) Jared charges 18 cents per square inch for his frames. How much will he charge for a frame that measures 16 inches on each side and has a width of 2 inches?

Answer 1

A= 20 times 20 - (20 - 2 times 3) times (20-2 times 3) this equal 336

Answer 2

B.204 square inches

C.2016 cents

Explanation:

We are given that Jared sells square frames of various sizes made of wood .To find the area of a frame ,Jared uses the formula

`A=s^2-(s-2w)^2`

Where s=Length of a side of the frame

w=Width of the frame

B.We are given that length of each side=s=20 inches

Width of frame=w=3 inches

Substitute the values in the above given formula

Then, we get

A=
`(20)^2-(20-2* 3)^2`

`A=400-(20-6)^2`

`A=400-196=204`square inches

Hence, area of frame=204 square inches

C.We are given that

Cost of 1 square inch=18 cents

Length of each side of frame=s=16 inches

Width of frame=w=2 inches

Substitute the values in the given above formula

Then ,we get
`A=(16)^2-(16-2* 2)^2`

`A=256-(12)^2`

`A=256-144=112` square inches

Cost of 112 square inches=
`112*18`=2016 cents

Hence, he will charge for a frame =2016 cents