A car as viewed from the front is overlaid onto a sheet of graph paper with horizontal and vertical gridlines. The spacing between gridlines is much less than the width or height of the car. The car spans 57.5 in wide from the left side of the hood to the right side, and 39.0 in high from the bottom of the wheels to the top of the roof. Referring to the frontal area of the car shown in the above figure, estimate the lengths of sides (1)–(4) in inches in the following rough sketch. A grid lies in the first quadrant of the x y-coordinate plane. It is 23 grid units wide by 15.5 grid units tall, or 57.5 in. wide by 39.0 in. tall, where the bottom left corner of the grid is at the origin. Two squares and a rectangle are drawn on the grid. Triangle (a) has vertices at (0, 9.5), (0, 15.5), and (5, 15.5), where its top side is labeled 1 and its left side is labeled 2. Triangle (b) has vertices at (23, 9.5), (23, 15.5), and (18, 15.5), where its top side is labeled 1 and its right side is labeled 2. Rectangle (c) has vertices at (3.5, 0), (3.5, 1), (19.5, 1), and (19.5, 0), where its top side is labeled 3 and its right side is labeled 4. (a) What is the total area of the two triangle shapes (a) and (b) (in square inches)? (b) What is the area of the rectangular shape (c) (in square inches)? in2 (c) What is the approximate frontal area of the car (in square inches)?
A car as viewed from the front is overlaid onto a sheet of graph paper with horizontal and vertical gridlines. The spacing between gridlines is much less than the width or height of the car. The car spans 57.5 in wide from the left side of the hood to the right side, and 39.0 in high from the bottom of the wheels to the top of the roof. Referring to the frontal area of the car shown in the above figure, estimate the lengths of sides (1)–(4) in inches in the following rough sketch. A grid lies in the first quadrant of the x y-coordinate plane. It is 23 grid units wide by 15.5 grid units tall, or 57.5 in. wide by 39.0 in. tall, where the bottom left corner of the grid is at the origin. Two squares and a rectangle are drawn on the grid. Triangle (a) has vertices at (0, 9.5), (0, 15.5), and (5, 15.5), where its top side is labeled 1 and its left side is labeled 2. Triangle (b) has vertices at (23, 9.5), (23, 15.5), and (18, 15.5), where its top side is labeled 1 and its right side is labeled 2. Rectangle (c) has vertices at (3.5, 0), (3.5, 1), (19.5, 1), and (19.5, 0), where its top side is labeled 3 and its right side is labeled 4. (a) What is the total area of the two triangle shapes (a) and (b) (in square inches)? (b) What is the area of the rectangular shape (c) (in square inches)? in2 (c) What is the approximate frontal area of the car (in square inches)?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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I'm really confused on this question... I don't really understand how I'm supposed to estimate when I don't know the scale or anything like that?
Use the exact values you enter to make later calculations.
Consider the frontal area of the car in the figure below.
A car as viewed from the front is overlaid onto a sheet of graph paper with horizontal and vertical gridlines. The spacing between gridlines is much less than the width or height of the car. The car spans 57.5 in wide from the left side of the hood to the right side, and 39.0 in high from the bottom of the wheels to the top of the roof.
Referring to the frontal area of the car shown in the above figure, estimate the lengths of sides (1)–(4) in inches in the following rough sketch.
A grid lies in the first quadrant of the x y-coordinate plane. It is 23 grid units wide by 15.5 grid units tall, or 57.5 in. wide by 39.0 in. tall, where the bottom left corner of the grid is at the origin. Two squares and a rectangle are drawn on the grid.
- Triangle (a) has vertices at (0, 9.5), (0, 15.5), and (5, 15.5), where its top side is labeled 1 and its left side is labeled 2.
- Triangle (b) has vertices at (23, 9.5), (23, 15.5), and (18, 15.5), where its top side is labeled 1 and its right side is labeled 2.
- Rectangle (c) has vertices at (3.5, 0), (3.5, 1), (19.5, 1), and (19.5, 0), where its top side is labeled 3 and its right side is labeled 4.
(a) What is the total area of the two triangle shapes (a) and (b) (in square inches)?
(b) What is the area of the rectangular shape (c) (in square inches)?
in2
(c) What is the approximate frontal area of the car (in square inches)?
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