The length of the rectangle is 5/6 of its width. Find the sides of a rectangle if its area is 120 degrees.
February 9, 2021 | education
| Rectangle;
Length -? 5/6 of the width;
Width -? cm;
Area – 120 cm ^ 2.
Decision:
Let’s solve the problem using the equation method. Let x be the width of the rectangle.
We also express the length of the rectangle in terms of x. Since it is 5/6 of the width, and the fraction of the number is found by multiplying the fraction by the number, then 5/6 * x is the length.
Knowing that the area is 120 cm ^ 2, and that it is calculated as the product of length and width, we get the equation:
5/6 * x * x = 120;
x ^ 2 = 120: 5/6;
x ^ 2 = 120 * 6/5;
x ^ 2 = 144 $
x = 12 (cm) – width.
5/6 * 12 = 10 (cm) – length.
Answer: 12 cm and 10 cm.
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