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The length of a rectangle is 120 yards, and the width is 50 yards.

Find:

1. The perimeter in yards.
2. The area in square yards.

Answer :

Sure, let's break down the solution step-by-step.

1. Understand the Problem:
We need to find the perimeter and the area of a rectangle given its length and width.

2. Given Values:
- Length of the rectangle [tex]\( L = 120 \)[/tex] yards
- Width of the rectangle [tex]\( W = 50 \)[/tex] yards

3. Calculate the Perimeter:
The perimeter of a rectangle is given by the formula:
[tex]\[ \text{Perimeter} = 2 \times ( \text{Length} + \text{Width} ) \][/tex]

Plug in the given values:
[tex]\[ \text{Perimeter} = 2 \times (120 + 50) \][/tex]
[tex]\[ \text{Perimeter} = 2 \times 170 \][/tex]
[tex]\[ \text{Perimeter} = 340 \][/tex]

So, the perimeter of the rectangle is 340 yards.

4. Calculate the Area:
The area of a rectangle is given by the formula:
[tex]\[ \text{Area} = \text{Length} \times \text{Width} \][/tex]

Plug in the given values:
[tex]\[ \text{Area} = 120 \times 50 \][/tex]
[tex]\[ \text{Area} = 6000 \][/tex]

So, the area of the rectangle is 6000 square yards.

Summary:
- The perimeter of the rectangle is [tex]\( 340 \)[/tex] yards.
- The area of the rectangle is [tex]\( 6000 \)[/tex] square yards.

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