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Chapter 11: Q. 55 (page 714)

The perimeter of a rectangular floor is 90 feet. Find the

dimensions of the floor if the length is twice the width.

Short Answer

Expert verified

The dimension of the rectangular floor is 30 feet , 15 feet

Step by step solution

01

Given information

Perimeter of rectangular floor is 90 feet and length is as twice as breadth

02

Write the formula for perimeter and simplify

Perimeter of rectangle can be given as 2(l+b)Where l=length,b=breadth

Hence

2(l+b)=90l+b=45 (1)

also we are given that length of the rectangle is as twice as breadth

hence l=2b(2)

Substituting 2 in 1 we get

l+b=452b+b=453b=45b=15feet

Now we find the length

l=2bl=2(15)l=30feet

03

Conclusion

The length and breadth of the rectangular floor is 30feet,15feet

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