Answer:
Yes, the area of the square would be a rational number.
Step-by-step explanation:
Area of square = 400 units² = x²
x = one side length of square
x = √400 = <u>20 units</u>
Increase each side length by 1 unit.
New side length = <u>21 units</u>
Area of new square = 21² = 441
441 is a rational number because the square root of 400 is a rational number.
√400 = 21
Therefore: If the length of each side of the square increased by one unit, the area of the square would be a rational number. The area of the square would still be a perfect square.
1. Radius = 4 cm
2. Diameter = 8 cm
4 x 2 = 8
3. Circumference = 25.12 cm
8 x 3.14 = 25.12
4. Area = 50.24 cm^2
3.14 x 4^2
3.14 x 16 = 50.24
5. Radius = 5 in
6. Diameter = 10 in
5 x 2 = 10
7. Circumference = 31.4 in
10 x 3.14 = 31.4
8. Area = 78.5 in^2
3.14 x 5^2
3.14 x 25 = 78.5
9. Radius = 8 mm
16/2 = 8
10. Diameter = 16 mm
11. Circumference = 50.24 mm
16 x 3.14 = 50.24
12. Area = 200.96 mm^2
3.14 x 8^2
3.14 x 64 = 200.96
13. Radius = 7.4 cm
14.8/2 = 7.4
14. Diameter = 14.8 cm
15. Circumference = 46.472 cm
14.8 x 3.14 = 46.472
16. Area = 178.1636 cm^2
3.14 x 7.4^2
3.14 x 56.74 = 178.1636
17. Area = 44 m^2
10 - 6 = 4
8 x 4 = 32
6 x 2 = 12
32 + 12 = 44
18. Area = 7.74 mm^2
6 x 6 = 36
6/2 = 3
3.14 x 3^2
3.14 x 9 = 28.26
36 - 28.26 = 7.74
6 3/4 +x= 5 1/2
subtract 6 3/4 from each side
x = 5 1/2 - 6 3/4
get a common denominator
x = 5 2/4 - 6 3/4
take larger - smaller and take the sign of the larger
x = -(6 3/4 - 5 2/4)
x = - 1 1/4
Choice C
Answer: =4(b+3/8)^2 -9/16
This is your answer <span>33 x 33 = 4^3 = 64</span>