Question

URGENT URGENT PLEASE

Answer 1

Question 15: x = 17

Question 16: area = 5610 units

Explanation:

Question 15:

The perimeter is the sum of all sides of a triangle.

It is given that the perimeter is 374 units.

`p = 8x - 4 + 9x + 4 + 4x + 17`

`374 = 8x - 4 + 9x + 4 + 4x + 17`

Add all the like terms.

`374 = 21x + 17`

Subtract 17 from both sides.

`357 = 21x`

Divide by 21 from both sides.

`17 = x`

Question 16:

The area of a triangle can be found by using the following formula:

`a = (1)/(2) bh`

(where a is the area, b is the base, and h is the height)

Using the value of x you just found previously (17), you can calculate the base and height by substituting 17 with x in their respective equations.

`h = 8x - 4`

`h = 8(17) - 4`

`h = 134`

`b = 4x + 17`

`b = 4(17) + 17`

`b = 85`

Now that you found the base and height, substitute the values, 134 and 75, into the area of a triangle formula.

`a = (1)/(2) bh`

`a = (1)/(2) (85)(132)`

`a = 5610`