What’s the area of the figure

26.4074

Step-by-step explanation:

r^2 = 2.9^2 = 8.41

Pi = 3.14

A = Pi * r^2

   = 3.14 * 8.41

   = 26.4074

area of the circle is 26.4

Step-by-step explanation:

From the figure, which is a circle, the radius is given as 2.9ft, we are to find the area

Area of a circle= pi.r^2, it is calculated as pi multiplied by radius ^2, where pi is 22/7 (constant) and radius is given as 2.9ft

Slot in the values into the formula:

22/7 × 2.9^2

22/7 = 3.143 divide 22 by 7

2.9^2 = 2.9 x 2.9 = 8.41multiply 2.9 by 2.9

Area = 3.143 x 8.41

Area = 26.4

I hope this helps.

x is greater than 5

step-by-step explanation:

2x+7 is greater than 17

    -7                           -7

2x is greater than 10

divide by 2 each side

x is greater than 5

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240