Arectangular price tag has an area of 36 square centimeters. its perimeter is 26 centimeters. what are the dimensions of the price tag?

4 cm by 9 cm

Step-by-step explanation:

The formula for area of a rectangle is A = LW, where L and W are the dimensions of the rectangle.  We have

36 = LW

The formula for perimeter of a rectangle is P = 2L + 2W.  We have

26 = 2L + 2W

Solve the area formula for any variable..

36/L = W

Plug that into the perimeter equation..

26 = 2L + 2(36/L)

Now simplify...

26 = 2L + 72/L

Multiply all 3 terms by L to get rid of the fraction...

26L = 2L² + 72

Now this is a quadratic equation, get all terms to one side and solve...

2L² - 26L + 72 = 0

Divide both sides by 2

L² - 13L + 36 = 0

Factor the left side

(L - 9)(L - 4) = 0

So L = 4, or 9

If L = 4, then W = 36/4 = 9

If L = 9. then W = 36/9 = 4

either way, the dimensions are 4 cm by 9 cm

7. 153.86 ft

8. 12.56 ft

9. 78.5 m

10. 379.94 in

11. 132.665 m

12. 12.56 yd

13. 226.865 ft

14. 113.04 ft

15. 63.585 ft

16. 254.34 m

17. 50.24 cm

step-by-step explanation:

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step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!