A rectangle of area 144 cm2 has its length equal to x cm. Write down its breadth in terms of x. Given that its perimeter is 52 cm, write down an equation in x and solve it to determine the dimensions of the rectangle.

Question

KnowledgeBoat · Accepted Answer

Given, Area of rectangle = 144 cm2 Length = x cm Perimeter = 52 cm Area = length × breadth ⇒ 144 = x × breadth ⇒ Breadth = cm. Perimeter = 2(l + b) ⇒ 52 = 2(x + ) ⇒ x + = 26 ⇒ ⇒ x2 + 144 = 26x ⇒ x2 - 26x + 144 = 0 ⇒ x2 - 18x - 8x + 144 = 0 ⇒ x(x - 18) - 8(x - 18) = 0 ⇒ (x - 18)(x - 8) = 0 ⇒ x = 18 or x = 8 If x = 18 then, Length = x = 18 cm. Breadth = = 8 cm. If x = 8 then, Length = x = 8 cm. Breadth = = 18 cm. Generally we consider length > breadth Hence, length = 18 cm and breadth = 8 cm.

Mathematics

A rectangle of area 144 cm² has its length equal to x cm. Write down its breadth in terms of x. Given that its perimeter is 52 cm, write down an equation in x and solve it to determine the dimensions of the rectangle.

Mensuration

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Mathematics

A rectangle of area 144 cm2 has its length equal to x cm. Write down its breadth in terms of x. Given that its perimeter is 52 cm, write down an equation in x and solve it to determine the dimensions of the rectangle.

Mensuration

Related Questions

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