Question

Write an equation and solve it to find the length of the longer side of the rectangle.

2x + 10 = 125; x = 57.5 cm

x + 5 = 125; x = 120 cm

5x = 125; x = 25 cm

25x = 125; x = 5 cm

Answer 1

Is there a pic? Which is the longer side?

Answer 2

hold on ill show you

Answer 3

The rectangle below has a total perimeter of 125 cm.

Answer 4

call the other side x. Perimeter is all the sides added together, and we know it equals 125:

x+x+5+5 = 125

Answer 5

okay ..hm

Answer 6

Make sense? Now just simplify that equation. Combine like terms.

Answer 7

i need help doing that.

Answer 8

What's x+x? remember that it's really 1x... so 1x+1x = ?

Answer 9

2x

Answer 10

Yep. So we have

2x + 5 + 5 = 125

and now just add the 5s together.

Answer 11

how

Answer 12

??

Answer 13

i know you can do this part... 5+5 = ?

so 2x + 5 + 5 = 125 when you add the 5's becomes...

Answer 14

10

Answer 15

so now it's

2x + 10 = 125

all we did was combine the x's and the 5's in

x + x + 5 + 5 = 125

Answer 16

oh okay

Answer 17

@agent0smith can you please help me with my question.

Answer 18

The cost of coffee is determined by the type of coffee beans that are mixed together. The cost of a local mix of Arabica and Robusta beans is modeled by the equation below where A = the pounds of Arabica and R = pounds of Robusta.

700A + 1200R = 1,000,000

If a mixture contains 1000 pounds of Arabica beans, how many pounds of Robusta beans should be in the mixture?

R = ________________ pounds

Answer 19

1000 pounds of arabica, which is A... so A=1000

700A + 1200R = 1,000,000
so plug that in here... replace A with 1000:

700*1000 + 1200R = 1,000,000
700*1000 is 700,000 so

700,000 + 1200R = 1,000,000
subtract 700,000 on both sides

1200R = 1,000,000 - 700,000

1200R = 300,000

Now just divide both sides by 1200, that'll give R.

Answer 20

oh okay cool

Answer 21

Did you find R?

Answer 22

250?

Answer 23

Yes, good job :)

Answer 24

can you help me with one more?

Answer 25

Evan is making a table that will be created in the shape of the figure below. The table top is a triangle attached to a rectangle. To purchase the right amount of paint, he needs to know the area of the table top. He can only spend $10 on paint, which is enough to cover 150 ft2 of surface area. What is the maximum length of the base of the rectangle he can build?