I first plotted the three points and from from their position it was clear which pairs to join to start a rectangle.
At this point you need to check to make sure the angle at B is a right angle. Find the slope of the line segments AB and BC and check that the product of the slopes is -1.
From the diagram you can now see where the fourth point D has to be. If AB and CD are parallel then D must be 3 units to the left of C and 2 units above C. Find the coordinates of D and then check by finding the slopes of CD and DA and showing that the angle at D is a right angle.
I hope this helps
<h3>Solution(s):</h3>
<u>1)</u><u> What distance did a car travel that went 70 mph for 6 hours?</u>
Given:
<u>Multiply the RHS by 6 to see what distance was covered by the car in 6 hours.</u>
- 70 miles = 1 hour
- => 70 x 6 miles = 6 hours
- => 420 miles = 6 hours
The car traveled 420 miles in 6 hours.
<u>2)</u><u> What is the perimeter of a rectangle with a length of 7 cm and a width of 4 cm?</u>
Given:
- Length: 7 cm
- Breadth: 4 cm
Formula to find perimeter: 2(L) + 2(B)
<u>Substitute the values into the formula to find the perimeter.</u>
- 2(L) + 2(B)
- => 2(7) + 2(4)
- => 14 + 8
- => 22 cm
The perimeter of the rectangle is 22 cm.