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21 October, 01:40

8. MD Persevere with Problems The perimeter of a rectangle

that is x units wide and y units long is 24 centimeters.

a. Write an equation in standard form for the perimeter.

b. Find the x - and y-intercepts. Does either intercept make sense as a s

for this situation? Explain.

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Answers (1)
  1. 21 October, 05:18
    0
    Step-by-step explanation:

    P = 2 (L + W)

    P = 24

    width = x, length = y

    24 = 2 (x + y)

    24 = 2x + 2y

    standard form would be : 2x + 2y = 24, or it could also be x + y = 12

    to find the x intercept, sub in 0 for y and solve for x

    x + y = 12

    x + 0 = 12

    x = 12 ... so the x intercept is (12,0)

    to find the y intercept, sub in 0 for x and solve for y

    x + y = 12

    0 + y = 12

    y = 12 ... so the y intercept is (0,12)

    No, the intercepts do not make sense.

    consider the equation : 2x + 2y = 24

    if x is 12 ...

    2 (12) + 2y = 24

    24 + 2y = 24

    2y = 24 - 24

    2y = 0

    y = 0 ... so if x (the width) is 12 cm, the y (the length) would be 0.

    same goes with the length (y) ... if y = 12, then the width (x) is 0

    also, if x is 12 and y is 12

    P = 2 (L + W)

    P = 2 (12 + 12)

    P = 2 (24)

    P = 48 ... then the perimeter would not be 24, it would be 48
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