Question

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?

The equation
(
3
w
−
6
)
+
w
=
36
can be used to find the width of the rectangle, and the width is
6
feet.

The equation ( 3 w − 6 ) + w = 36 can be used to find the width of the rectangle, and the width is 6 feet.

The equation
(
3
w
−
6
)
+
w
=
36
can be used to find the width of the rectangle, and the width is
12
feet.

The equation ( 3 w − 6 ) + w = 36 can be used to find the width of the rectangle, and the width is 12 feet.

The equation
2
(
3
w
−
6
)
+
2
w
=
36
can be used to find the width of the rectangle, and the width is
6
feet.

The equation 2 ( 3 w − 6 ) + 2 w = 36 can be used to find the width of the rectangle, and the width is 6 feet.

The equation
2
(
3
w
−
6
)
+
2
w
=
36
can be used to find the width of the rectangle, and the width is
12
feet.

Answer 1

so the correct statement is;

The equation 2 ( 3 w − 6 ) + 2 w = 36 can be used to find the width of the rectangle, and the width is 6 feet

Explanation:

Here, we want to select the statement which is true

Let the width be w

the length is 6 ft less than 3 times the width

The length will be (3w - 6) ft

Mathematically, the perimeter of a rectangle can be calculated using the formula;

2( l + b) = P

Thus;

2(3w -6 + w) = 36

divide both sides by 2

3w -6 + w = 36/2

3w -6 + w = 18

4w -6 = 18

4w = 18 + 6

4w = 24

w = 24/4

w = 6