Final answer:
To find the scaled length of the longest side of a flower bed using a scale factor of 1/20, multiply the actual length by the scale factor. For the area of a triangle, use the formula (1/2) × base × height and express it to three significant figures.
Step-by-step explanation:
The question relates to the concept of scale drawings and the calculation of triangle areas in mathematics. For example 4.8.3.3, to find the scaled length of the longest side of a flower bed, given the scale factor is 1/20 and the actual longest side is 5.5 meters, multiply these values:
Scale Factor × Actual Length = Scaled Length
1/20 × 5.5 m = 0.275 m
Therefore, the length of the longest side of the flower bed in the scale drawing will be 0.275 meters, or 27.5 centimeters.
The formula to calculate the area of a triangle is (1/2) × base × height. With a base of 1.007 m and a height of 0.665 m, the area of the triangle is:
Area = (1/2) × 1.007 m × 0.665 m = 0.334685 m²
Since the base and height measurements are to three significant figures, the answer should also be reported to three significant figures:
Area = 0.335 m² (to three significant figures)