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A rectangular garden measures 15 meters in length. If the perimeter of the garden is 50 meters, what is its area?175 𝑚2150

Question

A rectangular garden measures 15 meters in length. If the perimeter of the garden is 50 meters, what is its area?175 𝑚2150

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Solution

To find the area of the rectangle, we first need to find the width. We know that the formula for the perimeter of a rectangle is 2*(length + width). We can use this formula to find the width.

Given: Length (L) = 15 meters Perimeter (P) = 50 meters

We can plug these values into the formula:

50 = 2*(15 + width) 50 = 30 + 2width 20 = 2width Width (W) = 20/2 = 10 meters

Now that we have the width, we can find the area. The formula for the area of a rectangle is length * width.

Area = L * W Area = 15 meters * 10 meters Area = 150 square meters

So, the area of the garden is 150 square meters.

This problem has been solved

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