Answer:
The perimeter of the square is ![36\sqrt{x}\ cm](https://tex.z-dn.net/?f=36%5Csqrt%7Bx%7D%5C%20cm)
Step-by-step explanation:
step 1
Find the length side of the square
we know that
The area of a square is equal to
![A=b^{2}](https://tex.z-dn.net/?f=A%3Db%5E%7B2%7D)
where
b is the length side of the square
we have
![A=81x\ cm^{2}](https://tex.z-dn.net/?f=A%3D81x%5C%20cm%5E%7B2%7D)
substitute and solve for b
![81x=b^{2}](https://tex.z-dn.net/?f=81x%3Db%5E%7B2%7D)
square root both sides
![b=9\sqrt{x}\ cm](https://tex.z-dn.net/?f=b%3D9%5Csqrt%7Bx%7D%5C%20cm)
step 2
Find the perimeter of the square
we know that
The perimeter of the square is equal to
![P=4b](https://tex.z-dn.net/?f=P%3D4b)
we have
![b=9\sqrt{x}\ cm](https://tex.z-dn.net/?f=b%3D9%5Csqrt%7Bx%7D%5C%20cm)
substitute
![P=(4)9\sqrt{x}](https://tex.z-dn.net/?f=P%3D%284%299%5Csqrt%7Bx%7D)
![P=36\sqrt{x}\ cm](https://tex.z-dn.net/?f=P%3D36%5Csqrt%7Bx%7D%5C%20cm)
To find the area of a rhombus, multiply the lengths of the two diagonals and divide by 2 (same as multiplying by 1/2): The sides and angles of a rhombus: The sides of a rhombus are all congruent (the same length.) Opposite angles of a rhombus are congruent (the same size and measure.)
A square has two perpendicular bisectors but a square is not a rhombus (because a rhombus does not have all four angles = 90. Oh, but wait, a rhombus is a square in the same way a rectangle is a square but not the other way around.
Answer:
6.6 cm and 14.6 cm
Step-by-step explanation:
(a)
the length of arc AB is calculated as
AB = circumference of circle × fraction of circle
= 2πr × ![\frac{95}{360}](https://tex.z-dn.net/?f=%5Cfrac%7B95%7D%7B360%7D)
= 2π × 4 × ![\frac{95}{360}](https://tex.z-dn.net/?f=%5Cfrac%7B95%7D%7B360%7D)
= 8π × ![\frac{95}{360}](https://tex.z-dn.net/?f=%5Cfrac%7B95%7D%7B360%7D)
= ![\frac{8\pi (95)}{360}](https://tex.z-dn.net/?f=%5Cfrac%7B8%5Cpi%20%2895%29%7D%7B360%7D)
≈ 6.6 cm ( to the nearest tenth )
(b)
the perimeter (P) of sector AOB is
P = r + r + AB = 4 + 4 + 6.6 = 14.6 cm
Answer:
yes
Step-by-step explanation: