(a) The sum of length and width is half the perimeter, so the breadth in terms of length (x) in cm will be
.. breadth = 34 -x
(b) Then the expression for the area (in cm^2) is
.. area = length*breadth
.. 253 = (x)(34 -x)
.. x^2 -34x +253 = 0 . . . . . subtract the right side, eliminate parentheses
.. (x -11)(x -23) = 0 . . . . . . . factor
.. x = 11 or 23
The dimensions of the rectangle are 11 cm by 23 cm.
7*3=21....The first number they would both share would be 7
Opposite sides are congruent and have the same slope.
Answer: Circumference of circle = 27.004 inches
Area of circle = 58.0586 inches²
Step-by-step explanation:
Diameter of circle = 8.6 inches
Pi (
) = 3.14
Circumference of circle (With diameter) = 
d (×diameter)
= 3.14 × 8.6
= 27.004 inches
Area of circle (With diameter) = 
/4
= 3.14 × 8.6 × 8.6 / 4
= 3.14 × 73.96 / 4
= 58.0586 inches²
3√x+2 = √x+4
divide both sides by 3
√x+2 = √x+4 / 3
remove radical by squaring both sides
x+2 = x+4/9
x+2 = x/9 + 4/9 =
8x/9 = -14/9
8x*9 = -14*9=
72x = -126
x = -7/4
