Find the area of ABCED
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Step-by-step explanation:
= 2160 area of ABCED Of the figure
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Answer:
Area of the figure is 12cm²
Step-by-step explanation:
We need to find the area of ABCED
Here, This figure can be splitted into two shapes :
- Rectangle.
- Triangle.
First
Finding the area of the rectangle i.e., l × b
Where,
l (length) = 6cm
b (breadth) = 5cm
So,
Area of the rectangle ABCD = 6 × 5 = 30cm²
Second,
We are going to find the area of the ∆ CED
Where,
There's sides are 3cm, 4cm, and 5cm
- We need to find the semi perimeter before using the heron's formula to find the area.
So,
We know that,
Semi perimeter = a + b + c/2 (a, b, c denotes the sides)
= Semi perimeter = 3 + 4 + 5/2
= 12/2
= 6cm
Using the heron's formula :
= √s(s - a)(s - b)(s - c)
= √6(6 - 5)(6 - 4)(6 - 3)
= √6(1)(2)(3)
= √36
= 6cm²
Hence,
Total area of the figure :
➡ Area of rectangle ABCD + Area of ∆ CED
️➡ (6 + 6)cm²
️➡️ 12cm² ans.
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