1.

A game room has a perimeter of 70 ft. The length is five more than twice the width. How many ft2 of new carpeting should be ordered?

Answer»

Step-by-step explanation:

Answer:-

Given:-

  • Perimeter = 70 feet
  • Length = 5 + 2 times the breadth.

To find:-

Area of the game room.

Let's Do!

What we NEED to do is:-

  • Consider the breadth as x.
  • So length is 2x.

\sf{Perimeter = 2(L+B)}

\sf{70 = 2(x+2x+5)}

\sf{35 = 3x+5}

\sf{30 = 3x}

\sf{10 = x}

Now,

  • Length is 10 × 2 +5 = 25 feet
  • And breadth is 10feet.

Area = Length × Breadth

= 10 × 25

\boxed{\sf{Area = 250  ft^2}}

Note:-

  • Take the ratio constant as x.
  • 2 x is TAKEN as it was given that the length is TWICE its breadth.
  • A special vigil on the units.
  • And NUMBER us greater than constants.


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