Question
The side length of square ABCD is twice the side length of square EFGH. If the area of square EFGH is 9 , what is the area of square ABCD ?
The correct answer is: 36
We know that if the length of a side of a square is, say, a unit. Then the area of the square will be a2 sq. unit.
Explanations:
Step 1 of 3:
Given, the area of square EFGH is 9. Then, the length of the side ((A) of the square is—
⇒ a = 3, ignoring the negative value since length cannot be negative
Step 2 of 3:
It is stated that the side length of square ABCD is twice the side length of square EFGH.
So, the side length ((B) of square ABCD is—
b = 2a = 2 × 3
⇒ b = 6
Step 3 of 3:
The area of square ABCD is— sq. unit
Final Answer:
The area of square ABCD is 36 sq. unit
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For part of a trip, a car traveled directly away from its starting point at a constant speed. The graph shows the car's distance from its starting point, in miles, for times from 2.0 hours to 2.5 hours after the start of the trip. What was the speed of the car, in miles per hour, during this part of the trip?
Distance divided by time is the formula for speed. Both meters per second (m/s) and kilometers per hour (km/hr) are used to measure speed.
The amount of distance traveled at a given velocity is shown by a speed formula. The measurement of speed is the distance covered in a predetermined period. The car traveled directly away from its starting point at a constant speed can be determined by knowing the distance it traveled and the time it took. The time graph separation is a line graph that shows the results of the distance versus time analysis. It is easy to create a distance-time graph. To begin, take a piece of graph paper and draw two parallel lines that meet at the letter O. The X-axis is the horizontal line, and the Y-axis is the vertical line. A graphic that shows the distance traveled in a specified amount of time is known as a distance-time graph. In other words, it provides information regarding the vehicle's speed over a specific distance. The graph makes the numerical statistics for time and distance easier to interpret. The graph also shows how far the car has traveled at any given moment. Finding the changing speed at different distances can be done with the help of a distance-time graph.