A truck driver drove 48 miles in 45 minutes. at this rate, how many miles can the truck driver drive in one hour?
1 answer:
Answer:
64 miles
Step-by-step explanation:
Number of miles driven in 45 minutes = 48 miles
We need to find how many miles will the truck drive drive in one hour. Since the rate is the same, the distance covered in each minute remains the same.
Number of miles driven in 1 minute = miles
Since, 1 hour = 60 minutes, we can write:
The number of miles driven in 1 hour (60 minutes) = miles
This means the truck driver can drive 64 miles in an hour.
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<h3>62.5 cm^2</h3>
The figure is a trapezoid, albeit not possessing the same lengths for the left and right sides. If I'm not mistaken, it has another name or term. But I forgot.
Anyway, to solve the problem, let us chop-chop or break the figure into two parts or two polygons that we are familiar with - a rectangle and a triangle. See the attached image for a clearer presentation.
After breaking the original polygon into two parts as portrayed by the red broken line, we are also going to divide the equivalent value of each side.
Remember, a rectangle has two pairs of common sides. Since the upper side of the polygon has a length of 10 cm, then, the length of the lower side (the side at the left side of the broken line) is 10, too. The same goes for the length of the left side which is 5 cm, and therefore the length of the broken line is 5 cm. Please refer to the attached image, particularly the figures in green.
From the standpoint of the triangle, based on thee figure, it has a height of 5 cm and a base of 5 cm (15 cm- 10 cm). Did you get it? If yes, let's continue.
Solving Time! :D
1. Solve for the area of the rectangle.
Arectangle=L×W=5 cm×10 cm=50 cm²
2. Solve for the area of the triangle.
Atriangle=2b×h=25 cm×5 cm=225 cm²=12.5 cm²
3. Combine (add) the two areas to find the area of the original figure.
Acomposite figure=Arectangle+Atriangle=50 cm²+12.5 cm2=62.5 cm
If there's a Latex Error, Please click the second image attached below :)