A square and a rectangle have equal areas. If each side of the square is 18 cm and the width of the rectangle is 12 cm, find the length of the rectangle.
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Answered by
1
Answer:
27 cm
Step-by-step explanation:
The area of the square is 18 x 18 = 324
The area of the rectangle is 12x, which by the terms of the problem equals the area of the square, that is, 324. So
12x = 324
Divide each side buy 12, and our answer is x= 27.
The length of the rectangle is 27cm
Answered by
1
Given that,
- Side of the square = 18 cm
- Width of the rectangle = 12 cm
- Length of the rectangle = ?
- Area of square = Area of rectangle
Let's find the area of square :
⇒ (Side)² = (18 cm)² = 324 cm²
Therefore, area of square and area of rectangle is 324 cm².
⇒ Area of Rectangle = Length × Breadth = 324 cm².
⇒ Length × 12 cm = 324 cm²
⇒ Length = 324 cm²/12cm
⇒ Length = 27 cm.
∴ Length of the rectangle = 27 cm.
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