A rectangle has a perimeter of 360 m. If its length and width are in the ratio of 5:4 respectively, what would be its area?

A: 800 m²

B: 8000 m²

C: 100 m²

D: 1000 m²

Correct Answer : B

The perimeter of a rectangle is given by the formula :
p = 2×(Length + Width).

Let's denote the length of the rectangle as 5x and the width as 4x, where x is a common multiplier.

Given that the perimeter is 360 m, we can set up the equation:

2 × ( 5x + 4x ) = 360

Combine like terms:

2 × 9x = 360

Simplify:

18x = 360

Now, solve for x:

X = 360/18 = 20

Now that we have the value of x, we can find the length and width of the rectangle:

Length = 5x = 5 × 20 = 100m

 Width = 4x = 4 × 20 = 80m

Now, calculate the area of the rectangle using the formula Area=length×width:

Area = 100m × 80m

Area = 8000m²

So, the area of the rectangle is 8000m²

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