The length of a rectangular sandbox is
6 feet less than 3 times the width. The perimeter of the sandbox is 36 feet.
Which statement is true?
a) The equation (3w − 6) +w = 36
can be used to find the width of the rectangle, and the width is 6 feet.
b) The equation(3w −6) + w =36
can be used to find the width of the rectangle, and the width is 12 feet.
c) The equation 2(3w − 6) + 2w = 36
can be used to find the width of the rectangle, and the width is 6 feet.
d) The equation 2(3w − 6) +2w = 36
can be used to find the width of the rectangle, and the width is 12 feet.
Answer:
Option c) is true
The equation 2(3w − 6) + 2w= 36
can be used to find the width of the rectangle, and the width is 6 feet.
Explanation:
The length of a rectangular sandbox is
6 feet less than 3 times the width. The perimeter of the sandbox is 36 feet.
L = 3 × W - 6
L = 3W - 6
The formula for perimeter of a rectangle = 2(L + W)
= 2L + 2W
Hence, we substitute
P = 2L+ 2W
36 = 2(3W - 6) + 2W
36 = 6W -12 + 2W
Collect like terms
36 +12 = 6W + 2W
48 = 8W
W = 48/8
W = 6
The width is 6 feet
Which statement is true?
Option c) is true
The equation 2(3w − 6) + 2w= 36
can be used to find the width of the rectangle, and the width is 6 feet.