What is the width of a rectangle with a length of 2 1 / 7m and an area equal to the area of a rectangle
October 9, 2021 | education
| What is the width of a rectangle with a length of 2 1 / 7m and an area equal to the area of a rectangle with dimensions 5 2 / 3m and 3 1 / 3m?
a1 = 2 1/7 m, b1 =?
a2 = 5 2/3 m, b2 = 3 1/3 m, S1 = S2.
1) Find the area of the second rectangle by the formula S2 = a2 * b 2:
S2 = 5 2/3 * 3 1/3 = 17/3 * 10/3 = 170/9 (m2).
2) Express the width of the first rectangle b1 = S1: a1:
b1 = 170/9: 2 1/7 = 170/9 * 7/15 = 238/27 = 8 22/27 (m).
Answer: 8 22/27 m.
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