Question

A rectangular pool is twice as

Answer 1

Step-by-step explanation:

L=2B

P=2(L+B)

48=2(2B+B)

48=2(3B)

48=6B

B=8yd

L=2*8

=16yd

Answer 2

Answer:

length * width = 16 yd * 8 yd

or

length = 16 yd

width = 8 yd

Step-by-step explanation:

take the rectangular pool to have sides a (length) and 2a (width).

we are told that the length is as twice as its width, therefore,

Perimeter is given by (a + 2a) × 2 = 48 yd

Divide both sides by 2 ⇒ $\frac{((a + 2a) * 2)}{2} = \frac{48 yd}{2}$ ⇒ a + 2a = 24 yd

⇒3a = 24 yd

Divide both sides by 3 ⇒ $\frac{3a}{3} = \frac{24 yd}{3}$ ⇒ a = 8 yd

therefore, the width of the pool is 8 yd and its length is 16 yd (Twice as long as it is wide)