Find the area of each triangle.
Problem 1 :
Solution :
Base = 7 units
Height = 4 units
Area of triangle = 1/2 × b × h
= 1/2 × 7 × 4
= 14 units²
So, the area of triangle is 14 units².
Problem 2 :
Solution :
Base = 6 units
Height = 5 units
Area of triangle = 1/2 × b × h
= 1/2 × 6 × 5
= 15 units²
So, the area of triangle is 15 units².
Problem 3 :
Solution :
Base = 11 units
Height = 3 units
Area of triangle = 1/2 × b × h
= 1/2 × 11 × 3
= 16.5 units²
So, the area of triangle is 16.5 units².
Problem 4 :
Solution :
By drawing the vertical line, we divide the shape into two rectangles.
Solution :
Measures of rectangle in the left :
length = 3, width = 4
Area of rectangle = 3 x 4 ==> 12 cm^{2 }---(1)
Measures of rectangle in the right :
length = 2, width = 6
Area of rectangle = 2 x 6 ==> 12 cm^{2}^{ }---(2)
(1) + (2)
= 12 + 12
= 24 cm^{2}
Find the area of each parallelogram.
Problem 5 :
Solution :
Base = 4 units
Height = 3 units
Area of parallelogram = base × height
= 4 × 3
= 12 units²
So, the area of parallelogram is 12 units².
Problem 6 :
Solution :
Base = 6 units
Height = 3 units
Area of parallelogram = base × height
= 6 × 3
= 18 units²
So, the area of parallelogram is 18 units².
Problem 7 :
Solution :
Base = 7 units
Height = 5 units
Area of parallelogram = base × height
= 7 × 5
= 35 units²
So, the area of parallelogram is 35 units².
Problem 8 :
Solution :
Area of a circle = πr^{2}
Radius (r) = 2 units
= 22/7 × 2^{2}
= 22/7 × 4
= 12.57 units^{2}
Problem 9 :
Solution :
Area of a circle = πr^{2}
Radius (r) = 4 units
= 22/7 × 4^{2}
= 22/7 × 16
= 50.28 units^{2}
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