The diagram shows a scale drawing of a sports field. The diagram is 5 1\2 inches long and 3 inches wide. If 1 inch represents 20 yards, what is the area of the sports field?
To solve this problem, we first need to find the length and width of the actual sports field using the scale.
The length of the sports field is (5 1/2 inches) * (20 yards/1 inch) = 110 yards.
The width of the sports field is (3 inches) * (20 yards/1 inch) = 60 yards.
Now, we can calculate the area of the sports field.
The area of the sports field is (110 yards) * (60 yards) = 6600 square yards.
Which statement is true about perpendicular lines?
1. The lines intersect at a right angle
2. The lines are in the same plane but never intersect
3. The lines are not on the sane plane
4. The lines intersect at an acute angle
1. The lines intersect at a right angle.
To find the area of the sports field, we need to calculate the area of the scale drawing and then convert it to actual measurements.
The length of the scale drawing is given as 5 1/2 inches, and the width is given as 3 inches.
To calculate the area of the scale drawing, multiply the length by the width:
Area of scale drawing = 5.5 inches * 3 inches = 16.5 square inches.
Next, we need to convert the area from square inches to square yards.
We are given that 1 inch represents 20 yards, so 1 square inch represents 20 yards * 20 yards = 400 square yards.
To convert the area in square inches to square yards, divide the area in square inches by the conversion factor:
Area in square yards = 16.5 square inches / 400 = 0.04125 square yards.
Therefore, the area of the sports field is approximately 0.04125 square yards.