Question

The rectangle below has a total perimeter of 143 m: rectangle with width of 11 Which of the following equations can be used to determine the length of the longer side of the rectangle? x + 11 = 143 11x = 143 121x = 143 2x + 22 = 143

Answer 1

Answer: 2x + 22 = 143

Explanation:

Although the statement is miswriten, it can be infered that the rectangle has these dimensions:

• width = 11
• longer side = x
• perimeter = 143

The perimeter is the length of the four sides, which is given by the formula:

• perimeter = 2 (width + longer side)

Now substitute the dimensions given and simplify until getting some of the equations of the choices:

• 143 m = 2 (11 + x)
• 143 = 22 + 2x
• 2x + 22 = 143, which is the last of the choices.

Answer 2

The perimeter of a rectangle is defined as the sum of the lengths of its sides.

A rectangle has four sides.

Call "to" the long and "b" the width

Then the 4 sides of a rectangle are

a + a + b + b.

This means that the perimeter "P" of a rectangle is defined as:

$P=2a+2b$

We already know the perimeter P = 143 and the length of one of its sides that is a = 11

Then the perimeter equation of this rectangle is:

$2(11)+2b=143$

$2b+22=143$

Therefore the answer is the last option