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Answer:
54 cm²
Step-by-step explanation:
The given shape is made up of three entities;
two triangles and a rectangle.
Area of the triangle: = ½ × b × h
( Since height is not given, we will be using Pythagoras theorem to find it. )
Using Pythagoras theorem,
(Perpendicular)² = (Hypotenuse)² - (Base)²
= 5² - 4²
Perpendicular/ height = √9 = 3 cm
Now, putting values in the above formula,
= ½ × 4 × 3
= 6 cm²
Area of the another triangle will be the same i.e, 6 cm².
Now, Area of the rectangle;
= l × b
= (3+4) × 6
= 7 × 6
= 42 cm²
Therefore, area of the shape ;
=area of two triangles + area of rectangle
= 2 × 6 + 42
= 12 + 42
= 54 cm²
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Step-by-step explanation:
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