Helena builds a shed in her backyard. There is a larger square section for large tools, like her lawn mower, and a smaller squ

Question

2 years ago

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Helena builds a shed in her backyard. There is a larger square section for large tools, like her lawn mower, and a smaller squ

are section for small tools. What is the length of the entire shed? What type of number is the length? List as many types of numbers for the length as are possible.

Mathematics

1 answer:

vivado [14] · Answer 1 · 2023-04-14T00:57:45+03:00

Answer:

Step-by-step explanation:

a) From the image attached, the area of the small section is 16ft² and the area of the large section is 50 ft². The area of a square = length × length = length².

For the small section: Area = length²

16 = length²

length = √16 = 4 ft

For the large section: Area = length²

50 = length²

length = √50

The length of entire shed = length of small area + length of large area = 4 + √50

The length of entire shed = 4 + √50

b) All square root of integers other than perfect squares are irrational numbers , hence 4 + √50 is an irrational number. All numbers belongs to the set of real numbers. Therefore 4 + √50 is an irrational number and real number

Helena builds a shed in her backyard. There is a larger square section for large​ tools, like her lawn​ mower, and a smaller squ

Helena builds a shed in her backyard. There is a larger square section for large tools, like her lawn mower, and a smaller squ