What is the area of this parallelogram? 10.35 cm² 12.5 cm² 20.25 cm² 30.6 cm² Parallelogram A B C D is composed of a square and
two triangles. The square has a length and height of 4.5 centimeters each. There are two identical triangles. Each triangle has a base of 2.3 centimeters and a height of 4.5 centimeters.
2 answers:
Answer:
30.6 cm²
Step-by-step explanation:
Dividing the parallelogram into 2 geometry shapes:
Square
2 Right angle triangles
Area of a square, As = length^2
= 4.5^2
= 20.25 cm^2
Area of a right angle triangle, At = 1/2 × base × height
= 1/2 × 2.3 × 4.5
= 5.175 cm^2
Sinve there are 2 right angle triangle,
At = 2 × 5.175
= 10.35 cm^2
Total area of the parallelogram, Ap = area of the square + area of the 2 right angle triangle
= 10.35 + 20.25
= 30.6 cm^2
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