Question

We need a rock garden work a perimeter of 18ft area 18ft what is the length and width​

Answer 1

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

Answer 2

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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