4. The length and breadth of a rectangle are in a 15:11 ratio. If the length is 56 cm more than the breadth, find the perimeter of the rectangle.
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Answer:
Answer Is -728
Step-by-step explanation:
We know that the Length of the rectangle is 15/11ths of the Breadth:
1) L = 15/11 * B
We know that the difference between Length and Breadth is 56:
2) L - B = 56
Substituting the second equation into the first:
15/11 * B - B = 56
15/11 * B - 11/11 * B = 56
4/11 * B = 56
B = 56 * 11/4 = 154
We can test our calculation of B by calculating L and checking the difference:
L = 15/11 * B = 15/11 * 154 = 210, and the difference is
L - B = 210 - 154 = 56
Knowing the Length and Breadth, we can calculate the perimeter as 2*B + 2*L:
Perimeter = 2 * 154 + 2 * 210 = 728
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