The length of a rectangular room is double of its breadth. If the area is 512 square inches, what is the perimeter (in feet)?

Question: The length of a rectangular room is double of its breadth. If the area is 512 square inches, what is the perimeter (in feet)?

Solution:
Given that,
Length = 2 × Breadth
Area = 512 square inches
Let the breadth is x inches.
Then length = 2x inches.

We know,
Area = Length × Breadth
⇒ 2x × x = 512
⇒ x² = 512/2
⇒ x² = 256 = 16²
∴ x = 16

Therefore, Breadth = 16 inches and Length = 32 inches

∴ Perimeter, P = 2(Length + Breadth)
= 2(32 + 16)
= 96 inches
= 96/12 feet ; [12 inches = 1 feet]
= 8 feet