Question

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.

Answer 1

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