# math

posted by .

A childrens play area is triangular. The sides of the play area measure 90m ,225m and 255m respectively . Calculate the area of the play area?

• math -

Use Law of Cosines to find one of the
sides:

a = 90 m.
b = 225 m.
c = 255 m.

CosB = (a^2+c^2-b^2)/2ac
CosB=(8100+65025-50625) / 45900=0.4902
B = 60.6 Deg.

Area = 0.5ac*sinB
Area = 0.5*90*255*sin60.6 = 10,000 m^2.

• math -

Correction: Used Law of cosines to find
one of the angles.

• math -

thanx

## Similar Questions

1. ### geometry

Paula built a play area for her dog in the shape of a regular pentagon. If the perimeter is 35 feet, what is the length of each side of the play area?
2. ### Math

Suppose you have 100ft of fence to make a play area for your dog. Does a square or circle provide more area?
3. ### Math

A children's play area is triangular. The sides of the play area measure 90m, 225m and 255m respectively. Calculate the area of the play area.
4. ### Math

Corinda has 400 feet of square fencing to make a play area. She wants the fenced area to be rectangular.What dimensions should she use in order to enclose the maximum possible area?
5. ### Algebra

Peter buys 84 yards of fence to make a play area for his puppy. He wants the area to be 28 yards long. What is the area of the play area if he uses the entire fence he bought?
6. ### math

Roger just got a puppy for his birthday. He and his mother will build a fence around an area in the backyard for the puppy to play in. The play area will be 24 square feet. What dimensions could the play area be?
7. ### Calculus 1

A family wants to fence a rectangular play area alongside the wall of their house. The wall of their house bounds one side of the play area. If they want the play area to be exactly 1600ft^2, what is the least amount of fencing needed …