Question

The tile along the edge of a triangular community pool needs to be replaced.

Which expression represents the total perimeter of the pool edge?


12x^2 + 15

20x^2 + 25

12x^2 + 8x + 25

24x^2 + 16x + 50

Answer 1

`12x^2+8x+25`

Explanation:

We are given that

Perpendicular length side of triangle =
`4x^2+15`

Base of triangle=
`8x+10`

Hypotenuse of right triangle =
`8x^2`

We have to find the expression which represents the total perimeter of the pool edge.

We know that

Perimeter of triangle=Sum of three sides of triangle

Substitute the values then we get

Perimeter of right triangular pool edge=
`4x^2+15+8x+10+8x^2`

Combine like terms

Perimeter of right triangular pool edge=
`12x^2+8x+25`

Hence, the perimeter of the pool edge is given by

`12x^2+8x+25`

Answer 2

Third option: 12x^2+8x+25

Explanation:

s1=8x^2

s2=4x^2+15

s3=8x+10

Total perimeter of the pool edge: P

P=s1+s2+s3

Replacing s1, s2 and s3 in the formula above:

P=(8x^2)+(4x^2+15)+(8x+10)

P=8x^2+4x^2+15+8x+10

Adding like terms:

P=12x^2+8x+25