Can someone please help me with this? tysm!
2 answers:
Answer:
Area of shades region square inches
Step-by-step explanation:
In the given figure accordingly, we have to find the Area of the shaded region
Area of shaded region= Area of big triangle - Area of the small triangle.
Area of a triangle=
Altitude is the perpendicular height of the triangle from its top to base.
Base of big triangle=12 inches, Altitude of big triangle=6+3= 9 inches
Area of Big triangle
Base of small triangle= 6 inches, Altitude of small triangle= 3 inches
Area of the small triangle=
Area of shades region
square inches
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Difference between the area of the triangle and square is 25
Step-by-step explanation:
- Step 1: Find the area of the triangle given its 3 sides using the Heron's formula.
Area of the triangle = where s =
⇒ s = (6 + 8 + 10)/2 = 24/2 = 12
=
= =
= 24 sq. units
- Step 2: Find the area of the square with perimeter = 28 units.
Perimeter of the square = 4 × side = 28
⇒ Side of the square = 28/4 = 7 units
⇒ Area of the square = (side)² = 7² = 49 sq. units
- Step 3: Find the difference between the area of the square and triangle.
Difference = 49 - 24 = 25