Question

i know its blurry but i need help asap!!! thanks

istelister for three sites de rectangular playground using 160 meters of fencing. The playground borders the school building, so the fourth side thes te red fencing Aston below, one of the sides hus lengthy (metes Seraing school building Find a function tutqves the area 4 (1) d' the playground (in square meters) in terms se length a gives the maximum area that the playground can have? x 6 ? Ste length : 1 meters that she main that the playground can have? Yamun ra: square meters MacBook Air

Answer 1

Given, ome side 11 a meters fence on three sides 160 m so, length of other side fence - (2x given side) 160-20 Area of playground = exb =) A (n) = nex (160-2x) =) A (W) = 1601-200² 어 As we know a square occupy more area than a rectangle. so, shape of playground should be a square therefore, length of fence = 30 160 3) 32 -) 160 3 = ac SO for maximum arrea playground has side a = 160 3. 08 53, 34 m.

C Maximum area of playground = (160 (150) 25600 o - 2844.45 m?. Hence, maximum area is 2844.5m²