Please find area of shaded region
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Answers
Answer:
60 cm^2
Step-by-step explanation:
Area of Shaded region is 40+20cm^2...= 60 cm ^2
Step-by-step explanation:
Solution :-
From the given figure :
Length of a rectangle ABCD = 12 cm
AB = CD = 12 cm
Breadth of the rectangle ABCD = 10 cm
AD = BC = 10 cm
We know that
Area of a rectangle = length × breadth sq.units
Area of the rectangle ABCD
= AB × AD = CD × BC
= 12 × 10
= 120 cm²
Area of the rectangle ABCD = 120 cm²
And
∆ ADE is a right angled triangle
Base of the traingle = AE = 8 cm
Height of the triangle = AD = 10 cm
We know that
Area of a triangle = (1/2) base × height sq.units
Area of the triangle ADE = (1/2)×AE×AD
=> (1/2)×8×10
=> 80/2
=> 40 cm²
Area of the ∆ADE = 40 cm² ----(1)
∆ BCE is a right angled triangle
Base of the traingle = BE = 4 cm
Height of the triangle = BC = 10 cm
We know that
Area of a triangle = (1/2) base × height sq.units
Area of the triangle BCE = (1/2)×BE×BC
=> (1/2)×4×10
=> 40/2
=> 20 cm²
Area of the ∆ADE = 20 cm² -----(2)
Area of the shaded region
= Area of ∆ ADE + Area of ∆ BCE
From (1)&(2)
= 40 cm² + 20 cm²
= 60 cm²
Area of the given shaded region is
60 cm²