The area of a rectangle is 1,200 square meter. If the length of the rectangle of the rectangle is reduced 10 meter, it becomes a square, Calculate the length if the diagonal of the rectangle.

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Satt Academy · Accepted Answer

Let, the width of the rectangle is x meters So, the length of the rectangle is = (x+10) MetersAccording to the question,

xx+10=1,200 ⇒x2+10x-12,00=0 ⇒x2+40x-30x-1,200=0 ⇒xx+40-30x+40=0 ⇒x+40x-30=0 ⇒x-30 or, x=-40 (But the value of length cannot be a negative) So, the width of the rectangle is 30 meters, andThe length of the rectangle = 30+10=40 meters.So, according to the Pythagorean theories.The length of the diagonal of the rectangle= 402+302=50  meters.

The area of a rectangle is 1,200 square meter. If the length of the rectangle of the rectangle is reduced 10 meter, it becomes a square, Calculate the length if the diagonal of the rectangle. (Geometry (rectangle))

Question: The area of a rectangle is 1,200 square meter. If the length of the rectangle of the rectangle is reduced 10 meter, it becomes a square, Calculate the length if the diagonal of the rectangle. (Geometry (rectangle))

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