A square with a side of 1.2 dm was cut out of a rectangle that was 2.4 dm wide and 1.3 times longer than the width.

| May 1, 2021 | education

A square with a side of 1.2 dm was cut out of a rectangle that was 2.4 dm wide and 1.3 times longer than the width. Find the area of the remaining shape. Round your answer to the nearest hundredths of a square decimeter.

Rectangle.

Width = 2.4 dm;

1) Since the length of the rectangle is 1.3 times the width, then we find the length of the rectangle.

2.4 * 1.3 dm = 3.12 dm.

2) Find the area of the rectangle.

S = 2.4 dm * 3.12 dm = 2.4 * 3.12 dm ^ 2 = 7.488 dm ^ 2;

3) Find the area of the cut out square with a side of 1.2 dm.

S = 1.2 dm * 1.2 dm = 1.2 * 1.2 dm ^ 2 = 1.44 dm ^ 2.

4) Find the area of the remaining figure. To do this, subtract the area of the square from the area of the rectangle.

S rest = 7.488 dm ^ 2 – 1.44 dm ^ 2 = 6.048 dm ^ 2 = 6.05 dm ^ 2.



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