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:
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 ⇒ [tex]\frac{((a + 2a) * 2)}{2} = \frac{48 yd}{2}[/tex] ⇒ a + 2a = 24 yd
⇒3a = 24 yd
Divide both sides by 3 ⇒ [tex]\frac{3a}{3} = \frac{24 yd}{3}[/tex] ⇒ 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)
