a park, Camila is creating two designs for a fenced-in region so that dogs have a safe place to play. Camila designs each region using a coordinate grid where each unit on the grid represents one foot. Part A Camila’s first design is triangular-shaped. On the coordinate grid, she identifies two of the vertices to be (0, 0) and (0, 35). The third vertex is labeled as (x, 42). What is the positive x-coordinate of the third vertex if the area of the region will cover 700 square feet? Part B Camila’s second design is a six-sided region using the coordinates (0, 0), (0, 35), (30, 0), (40, 48), (35, 48), and (5, 35). How many feet of fencing material will Camila need for this region (rounded to the nearest whole number) ?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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In a park, Camila is creating two designs for a fenced-in region so that dogs have a safe place to play. Camila designs each region using a coordinate grid where each unit on the grid represents one foot.

Part A

Camila’s first design is triangular-shaped. On the coordinate grid, she identifies two of the vertices to be (0, 0) and (0, 35). The third vertex is labeled as (x, 42). What is the positive x-coordinate of the third vertex if the area of the region will cover 700 square feet?

Part B

Camila’s second design is a six-sided region using the coordinates (0, 0), (0, 35), (30, 0), (40, 48), (35, 48), and (5, 35). How many feet of fencing material will Camila need for this region (rounded to the nearest whole number) ?

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