A rectangular plot, 160 meters long and 90 meters wide, was exchanged for a plot of equal area.

| January 12, 2021 | education

A rectangular plot, 160 meters long and 90 meters wide, was exchanged for a plot of equal area. The length of the second section is 40 meters longer than the length of the first section. Find the width of the second section.

Recall that the area of a rectangular section (S) is calculated by the formula: S = a * b, where a is the length of the section, b is the width of the section.
If the area and length are known, then you can find the width using the formula:
b = S: a.
1) Find the length of the second section:
160 + 40 = 200 m.
2) We calculate the area of the site, the length of which is 160 m and the width is 90 m:
S = 160 * 90 = 14400 m2.
3) Since it is known that the area of the second section is the same, then, knowing its length, you can calculate the width.
Let’s find the width of the second section:
14400: 200 = 72 m.
Answer: 72 m.



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