The area of a rectangular dining room is 49 square meters. It is 7 meters wide. How long is it? _____ meters

Define Variables: Let l be the length of the rectangular dining room. The area of a rectangle is given by the formula Area = width * length.Calculate Area: Area of the rectangular dining room: 49 square meters, Width of the dining room: 7 meters. Substitute 49 for Area and 7 for width in the formula Area = width * length. 49 = 7 * lSolve for Length: Solve for l. 49 = 7 * l Divide both sides by 7 to isolate l. 49 / 7 = (7 * l) / 7 7 = l The length of the rectangular dining room is 7 meters.

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The area of a rectangular dining room is $49\,\text{square meters}$ . It is $7\,\text{meters}$ wide. How long is it? $\newline$ $\_\_\_\_\_$ meters

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Algebra 1

Area and perimeter: word problems

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Q. The area of a rectangular dining room is

49\,\text{square meters}

. It is

7\,\text{meters}

wide. How long is it?

\newline

\_\_\_\_\_

meters

Define Variables: Let $l$ be the length of the rectangular dining room. $\newline$ The area of a rectangle is given by the formula $\text{Area} = \text{width} \times l$ .
Calculate Area: Area of the rectangular dining room: $49$ square meters, Width of the dining room: $7$ meters. $\newline$ Substitute $49$ for Area and $7$ for width in the formula $\text{Area} = \text{width} \times \text{length}$ . $\newline$ $49 = 7 \times l$
Solve for Length: Solve for $l$ . $49 = 7 \times l$ Divide both sides by $7$ to isolate $l$ . $\frac{49}{7} = \frac{7 \times l}{7}$ $7 = l$ The length of the rectangular dining room is $7$ meters.