Find the length of one of the sides of the rectangle (1) and square (2).
1. Rectangle with area A = 45 m² and one side 5 m. Find the other side.
2. Square with area A = 9 m². Find the side length.
Answer (2)
Let's solve each part of the question step-by-step.
Rectangle with area A = 45 m² and one side 5 m. Find the other side.
The formula for the area of a rectangle is given by: Area = length × width
Here, we have the area A = 45 m 2 and one side, which we can call the width w = 5 m . We need to find the other side, which is the length l .
We can rearrange the formula to find the length: l = width Area
Substituting the known values: l = 5 45
l = 9 m
Therefore, the length of the other side of the rectangle is 9 meters.
Square with area A = 9 m². Find the side length.
The formula for the area of a square is given by: Area = side 2
Here, the area A = 9 m 2 . We need to find the length of one side s .
To find the side length, we can take the square root of the area: s = Area
Substituting the known value: s = 9
s = 3 m
Therefore, each side of the square is 3 meters long.
In conclusion, the rectangle has a side length of 9 meters for the other side, and the square has a side length of 3 meters.
The other side of the rectangle is 9 meters long, while each side of the square is 3 meters long.
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