The rectangle below has been reduced by a scale of StartFraction 1 over 10 EndFraction. A rectangle has a length of 15 and width of 12. [Not drawn to scale] What is the area of the reduced rectangle? 0.18 square units 1.8 square units 18 square units 180 square units
Question
The rectangle below has been reduced by a scale of StartFraction 1 over 10 EndFraction.
A rectangle has a length of 15 and width of 12. [Not drawn to scale]
What is the area of the reduced rectangle? 0.18 square units 1.8 square units 18 square units 180 square units
Solution
To find the area of the reduced rectangle, we first need to find the reduced dimensions of the rectangle.
Step 1: Find the reduced length and width The rectangle has been reduced by a scale of 1/10. So, we multiply the original length and width by this scale factor.
Reduced length = original length * scale factor = 15 * 1/10 = 1.5 units Reduced width = original width * scale factor = 12 * 1/10 = 1.2 units
Step 2: Find the area of the reduced rectangle The area of a rectangle is given by the formula: Area = length * width
Area of reduced rectangle = reduced length * reduced width = 1.5 units * 1.2 units = 1.8 square units
So, the area of the reduced rectangle is 1.8 square units.
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