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coldgirl
2 months ago
15

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:
Inessa [12.5K]2 months ago
5 0

Answer:

Step-by-step explanation:

a) According to the included image, the smaller section measures 16ft², and the larger section is 50 ft². The formula for the area of a square is side × side = side².

For the smaller section: Area = side²

16 = side²

side = √16 = 4 ft

For the larger section: Area = side²

50 = side²

side = √50

The overall length of the shed is the small area plus the large area = 4 + √50

The total length of the shed equates to 4 + √50

b) All square roots of integers unless they are perfect squares are irrational numbers, thus 4 + √50 is irrational. All such values fall within the set of real numbers, categorizing  4 + √50 as an irrational and real number.

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