Question

I need help with these questions

1) The length of a rectangular room is five less than double the width, w, of the room. Write an expression to represent the area of the room.

2) A parking area is 8 meters by 10 meters. How much will each side have to increase the area by 88 square meters?

Answer 1

Answer: first problem: 2w-5w

Second problem: one side increases by 4 and another side decreases by -22.

Step-by-step

For the first question: make a rectangle and label the length 2w-5 and the width 5. Next, write w(2w-5). Draw a arrow from w to 2 and another arrow from w to 5. Lastly write 2w^2-5w. Answer: 2w^2-5w

2nd question: make a rectangle. For the length write 10 and for the width write 8 and inside the rectangle write 80. Then draw a arrow and on top of the arrow write +88 and then drew another rectangle and for the length write x+10 and for the width write x+8 and inside the rectangle write 168. Then write this on the bottom of the rectangles;

(x+10) (x+8) =168

X^2+8x+10x+80=168

-168. -168

X^2+18x-88=0

Then make a T-chart and on one of the top column write (x-4) and on the other top column write (x+22)=0

And on the bottom of (x-4) write X=4 and in parenthesis write (increase)

And on the bottom of (x+22)=0 write X=-22 and in parenthesis write (decrease)

Then on the area so of the T-chart write 88 and underline it and write -4+22=18 D. S large +.

-Tell me if you get what I am saying. And good luck!