3.
A square and a parallelogram have the same area. If the side of the square is
48 m and the height of the parallelogram is 18 m, find the length of the base of the
parallelogram.
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Answers
Answer:
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
- The area of square = Area of parallelogram
- Side of square = 48 m
- Height of parallelogram = 18 m
- Length of base of the parallelogram
→ First we have to find the area of the square
→ Area of a square is given by,
Area of a square = side × side
→ Substituting the value of side we get,
Area of the square = 48 × 48
Area of the square = 2304 m²
→ By given we know that,
Area of square = Area of parallelogram
→ Hence,
Area of parallelogram = 2304 m²
→ But we know that area of a parallelogram is given by,
Area of a parallelogram = base × height
→ Substituting the value for area and height,
2304 = base × 18
Base = 2304/18
Base = 128 m
→ Hence base of the parallelogram is 128 m
→ The area of a square is given by
Area of a square = side × side
→ The area of a parallelogram is given by
Area of a parallelogram = base × height