# 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.