A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. The width of the rectangle is 6cm, while the length of the rectangle is 10 cm.
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. Then the length of the rectangle will be (x+4). Given the area of the rectangle is 60 cm², therefore, the area of the rectangle will be,
x × (x+4) = 60
x² + 4x = 60
x² + 4x - 60 = 0
x² + 10x - 6x - 60 = 0
x(x+10) - 6(x+10) = 0
(x-6)(x+10) = 0
x = 6, -10
Hence, the width of the rectangle is 6cm, while the length of the rectangle is 10 cm.
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