Please help me explain how the length was found in this equation. For instance a sentence or two starting out: "The length was found by..."
Thank you so much in advance!
The perimeter of a swimming pool is 96m. The width is 3m more than half the length of the pool. Find the length and breadth of the pool.
96m = l and w (length and width)
p = 96m (p = perimeter)
w = l / 2 + 3m
l= 30m
30 / 2m = 15 + 3m = 18 m
30l + 18w = 96p
(the answer is l = 30 and w = 18)
The perimiter of the pool is 96. Call the length "L" and the width L/2+3.
The perimiter of the pool is twice the length plus twice the width. So
96=L+L+(L/2+3)+(L/2+3) OR you can write it as 96=2L+2(L/2+3)
Simplifying we get
96=2L+L+6
Rearranging and simplifying, we get
90=3L
Hence L=90/3=30
Since the width is half the length plus three, we get
W=30/2+3=18