A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. The area of the given rectangle is 337.5 meter².
A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.
Let the width of the rectangle be represented by x.
Given that the length is 1.5 times the width. Therefore, the measure of the length and width of the rectangle can be written as,
Width = x
Length = 1.5 × Width = 1.5x
Now, it is given that the perimeter of the rectangle is 75 meters. Therefore, the perimeter of the rectangle can be written as,
Perimeter = 2(Length + Width)
75 meter = 2(1.5x + x)
75 meter = 2(2.5x)
75 meter = 5x
x = 75 meter/5
x = 15 meter
Further, the area of the rectangle can be written as,
Area = Length × Width
= 1.5x × x
= 1.5x²
Substitute the value of x,
= 1.5(15 meter)²
= 337.5 meter²
Hence, the area of the given rectangle is 337.5 meter².
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