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A rectangle has a length of 12 meters and a width of 400 centimeters. What is the perimeter, in cm, of the rectangle?
(A) 824
(B) 1,600
(c) 2,000
(D) 3,200

A rectangle has a length of $12$ meters and a width of $400$ centimeters. What is the perimeter, in $\mathrm{cm}$ , of the rectangle? $\newline$ (A) $824$ $\newline$ (B) $1$ , $600$ $\newline$ (c) $2$ , $000$ $\newline$ (D) $3$ , $200$

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Solve quadratic equations: word problems

Full solution

Q. A rectangle has a length of

12

meters and a width of

400

centimeters. What is the perimeter, in

\mathrm{cm}

, of the rectangle?

\newline

(A)

824

\newline

(B)

1

,

600

\newline

(c)

2

,

000

\newline

(D)

3

,

200

Convert to Centimeters: First, we need to ensure that the length and width of the rectangle are in the same units before calculating the perimeter. Since the width is given in centimeters, we will convert the length from meters to centimeters. There are $100$ centimeters in a meter. $\newline$ Calculation: $12$ meters $\times$ $100$ centimeters/meter $=$ $1200$ centimeters
Calculate Perimeter: Now that both the length and width are in centimeters, we can calculate the perimeter of the rectangle. The perimeter of a rectangle is given by the formula $P = 2(l + w)$ , where $l$ is the length and $w$ is the width. $\newline$ Calculation: $P = 2(1200\,\text{cm} + 400\,\text{cm}) = 2(1600\,\text{cm}) = 3200\,\text{cm}$

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