Answer:
90 cm²
Step-by-step explanation:
Given that both triangles are similar, it follows that the ratio of their area equals the square of their corresponding sides.
Let the area of the other triangle be x. Therefore:


Cross multiply


Divide both sides by 16
90 = x
Area of the other polygon = 90 cm²
Answer:
0
Step-by-step explanation:
Answer:
Step-by-step explanation:
The tangent to the angle makes an angle of 90° with the radius.
The interior angle of the equilateral triangle is 60, so that leaves 90-60 = 30° for the remaining angle with the tangent.
By the exterior angle theorem, 30°+x° = 60° (interior angle of the equilateral triangle), therefore
x = 60-30 = 30°.
Answer:
Step-by-step explanation:
Area of the good part= area of whole roof - area of bad part
Since the roof is a square roof, the area will be calculated using the formulae for area of a square
Area of a square =length²
Area of good part =(x+12)²-x²
A= {(x+12)(x+12)} - x²
A = (x²+12x+12x+144) -x²
Open the bracket and rearrange the equation
A= x²-x²+24x+144
A=(24x+144) ft