rectangle above consists of five congruent rectangles, the longer side of each being x m. If the total area figure is 7500 m², what will be the value of x ?
Answers
Answer:
looking like incomplete question
Step-by-step explanation:
There are several possible solutions,
The perimeter of the original rectangle is 165. So the combined length and the width add up to 165/2 or 82.5.
One rectangle can be 42.5 x 40. The 5 congruent smaller rectangles will be 42.5x8. The perimeter of each will be (42.5+8)*2 = 101.
The next rectangle can be 47.5 x 35. The 5 congruent smaller rectangles will be 47.5x7. The perimeter of each will be (47.5+7)*2 = 109.
The next rectangle can be 52.5 x 30. The 5 congruent smaller rectangles will be 52.5x6. The perimeter of each will be (52.5+6)*2 = 117.
The next rectangle can be 57.5 x 25. The 5 congruent smaller rectangles will be 57.5x5. The perimeter of each will be (57.5+5)*2 = 125.
The next rectangle can be 62.5 x 20. The 5 congruent smaller rectangles will be 62.5x4. The perimeter of each will be (62.5+4)*2 = 133.
The next rectangle can be 67.5 x 15. The 5 congruent smaller rectangles will be 67.5x3. The perimeter of each will be (67.5+3)*2 = 141.
The next rectangle can be 72.5 x 10. The 5 congruent smaller rectangles will be 72.5x2. The perimeter of each will be (72.5+2)*2 = 149.
The next rectangle can be 52.5 x 30. The 5 congruent smaller rectangles will be 77.5x1. The perimeter of each will be (77.5+1)*2 = 157.