Find the ratio of the known sides.
6/4 = 1.5
The larger triangle is 1.5 times larger than the smaller one.
Area is in square units, so to find the area of the larger triangle square the ratio and multiply that by the area of the known triangle.
1.5^2 x 40 = 90 square cm.
Answer:
-3x^2 +7x -4
-------------------------------
(x-3)(x-2)(x+3)
Step-by-step explanation:
2 3x
-------- - ----------
X^2-9 x^2 -5x+6
Factor
2 3x
-------- - ----------
(x-3)(x+3) (x-3)(x-2)
Get a common denominator
2 (x-2) 3x(x+3)
-------- - ----------
(x-3)(x+3)(x-2) (x-3)(x-2)(x+3)
2x-4 - (3x^2 -9x)
-------------------------------
(x-3)(x-2)(x+3)
Distribute
2x-4 - 3x^2 +9x
-------------------------------
(x-3)(x-2)(x+3)
Combine like terms
-3x^2 +7x -4
-------------------------------
(x-3)(x-2)(x+3)
Hey there! :)
You have to find the area of all of them and add it together.
Formulas:
Area of a square: l · w
Area of a triangle: (b · h) ÷ 2
Square -
l = 3
w = 3
3 × 3 = 9
Triangle -
b = 3
h = 3
(3 × 3) ÷ 2
9 ÷ 2 = 4.5
There are 4 triangles
4.5 × 4 = 18
9 + 18 = 27
The surface area ⇒ 27 cm²
