Question

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

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

Short answer

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

Step-by-step solution

Given information

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

Write the formula for perimeter and simplify

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

Hence

$$\begin{gathered} 2(l+b)=90 \\ l+b=45 \end{gathered}$$ (1)

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

hence $l=2b\left(2\right)$

Substituting 2 in 1 we get

$$\begin{gathered} l+b=45 \\ 2b+b=45 \\ 3b=45 \\ b=15feet \end{gathered}$$

Now we find the length

$$\begin{gathered} l=2b \\ l=2\left(15\right) \\ l=30feet \end{gathered}$$

Conclusion

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