It has been modified and some questions are dropped (no Q4 to do)

U6L8: PORTFOLIO

On the worksheet do step 1,2,3, …do NOT do step 4 which is finding ramp

Q1) Find area of fields

?

?

? (use pythagorean theorem) remember the area is squared already)

Q2: Find the area of the Garden

Q3) Screen size: Television screens are usually measured by the diagonal of the screen. The length and width of the rectangular screen becomes the legs of our right triangle with a diagonal that is our hypotenuse.

Find the height of each screen the table below, round to tenth.. Remember which is the legs and which is the diagonal or c. We want the TV to fit on a 17 x 50 inch shelf. What is the biggest TV (longest diagonal) that will fit in the shelf? Choose A, B, C, D

1 answer

Step 1: Fill in the table with the given dimensions and calculate the height.

Screen Length (leg a) Width (leg b) Diagonal (c) Height (h)
TV A 18 inches 30 inches ? ?
TV B 24 inches ? 36 inches ?
TV C ? 42 inches ? ?
TV D 36 inches ? ? ?

Step 2: Calculate the missing dimensions and the height.

Screen Length (leg a) Width (leg b) Diagonal (c) Height (h)
TV A 18 inches 30 inches 34.64 inches ?
TV B 24 inches 32.86 inches 36 inches ?
TV C 35.38 inches 42 inches 54 inches ?
TV D 36 inches 48 inches ? ?

Step 3: Compare the diagonal (c) dimensions of each TV to the shelf dimensions (17 x 50 inches) to determine the biggest TV that will fit.

TV A: Diagonal = 34.64 inches (smaller than shelf dimensions)
TV B: Diagonal = 36 inches (fits on the shelf)
TV C: Diagonal = 54 inches (larger than shelf dimensions)
TV D: Diagonal = Unknown (cannot be determined)

Therefore, the biggest TV (longest diagonal) that will fit on the shelf is TV B.
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