Answer:
Area of triangle= 35
x = 4
Step-by-step explanation:
The formula for area of rectangle = length x width.
Area of triangle = (1/2)bh
It's stated these two areas are equal:
(5)(3x - 5) = (1/2)(x + 3)(10)
Distribute on both the left side and the right side.
15x - 25 = (5)(x + 3)
15x - 25 = 5x + 15
Subtract 5x from both sides and add 25 to both sides.
10x = 40
Divide:
x = 4
Plug this back into the area of triangle:
= (1/2)(x + 3)(10)
= (1/2)(4 + 3)(10)
= (1/2)(7)(10)
= (1/2)(70)
= 35
