We need a rock garden work a perimeter of 18ft area 18ft what is the length and width
2 answers:
Answer:
P = perimeter
A = area
l = lenght
w = width
P = 2 x l + 2 x w
A = l x w
18 ft = 2 x l + 2 x w
18 ft² = l x w
Input l = 6 ft w = 3 ft
18 ft = 12 ft + 6 ft = 18 ft
18 ft² = 6 ft x 3 ft = 18 ft²
Answer:
l = 6 ft
w = 3 ft
Step-by-step explanation:
let the length be l and breadth be b.
perimeter = 2(l +b)
18 = 2(l+ b)
9 = l+ b
b = 9-l .... eq - 1
area = l× b
18 =l ( 9-l)
18 = 9l - l²
l²- 9l + 18 = 0
l ² -3l - 6l +18 = 0
l (l -3) -6 ( l -3) = 0
(l - 6 ) ( l-3) = 0
length (l). = 6 or 3 ft
then breadth = 9-l = 9-3 or 9-6
= 6 or 3 ft
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