Answer:
Step-by-step explanation:
step 1
Find the length side of the smaller square
The area of the square is equal to
so
step 2
Find the length side of the larger square
The area of the square is equal to
so
step 3
Find the value of x
Applying the Pythagoras Theorem
substitute the values
I'll just factor the above equation.
x² + 18x + 80
x² ⇒ x * x
80
can be:
1 x 80
2 x 40
4 x 20
5 x 16
8 x 10 Correct pair
(x+8)(x+10)
x(x+10) +8(x+10) ⇒ x² + 10x + 8x + 80 = x² + 18x + 80
x+8 = 0
x = -8
x+10 = 0
x = -10
x = -8
(-8)² + 18(-8) + 80 = 0
64 - 144 + 80 = 0
144 - 144 = 0
0 = 0
(-10)² + 18(-10) + 80 = 0
100 - 180 + 80 = 0
180 - 180 = 0
0 = 0
I think the algebra tiles will not be a good tool to use to factor the quadratic equation because the equation is not a perfect square quadratic equation.
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Important usd
Answer:
3) 162 ft² || 4) 38.25 mm²
Step-by-step explanation:
3)
area of triangle = 0.5 * base * height
= 0.5 * 27 * 12
= 162 ft²
4) area of triangle = 0.5 * base * height
= 0.5 * 8.5 * 9
= 38.25 mm²
