Question

A carpenter wished to measure the length and width of a rectangular room, but forgot his measuring tape. He gets a piece of wood and discovers the length of the room is twice as long as the piece of wood and the width of the room is half that of the wood. The owner says that the only information he can remember about the room is that its perimeter is 50 metres. Write an equation to represent this information, letting x equal the length of the piece of wood. Solve the equation and explain your answer.

Answer 1

Answer:

equation, 50=2(2x+x/2)

Step-by-step explanation:

perimeter of rectangle=2(l+b)

length of room=2x

width of room=x/2

so, 50=2(2x+x/2)

50=2(5x/2)

50=5x

x=10 metres

length=2*10=20 metre

width=10/2=5 metre

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Answer 2

Answer:

let length of wood =x

length of room = 2x

breadth of room =x/2

4x +x =50

5x=50

x=10

therefore length 20m

breadth 5m