The width of a rectangular room is of its length metres. If its perimeter is metres, write an equation connecting and . Find the floor area of the room if its perimeter is 32 m.

Question

KnowledgeBoat · Accepted Answer

Given, Length of rectangular room = x meters Width of rectangular room = meters. Perimeter = y meters. We know that, Perimeter = 2(l + b) Substituting the values we get, The above equation is the required relation between x and y. Given, perimeter = y = 32 m. Now substituting the value of y in equation (1) ⇒ 16x = 5 × 32 ⇒ x = = 10 m, ⇒ Breadth = = 6 m. Floor area of the room = l × b = 10 × 6 = 60 m². Hence, 16x = 5y is the equation connecting x and y and the floor area of room = 60 m².

Mathematics

The width of a rectangular room is of its length metres. If its perimeter is metres, write an equation connecting and . Find the floor area of the room if its perimeter is 32 m.

Mensuration

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