Solve this , find the length and width of the given rectangle

The answer to your question is: l = 13; w = 3

Step-by-step explanation:

Data

Area = 39 cm²

length = l = x + 8

width = w = x - 2

Formula

Area = length x width = l x w

Process

39 = (x + 8) (x - 2)

39 = x² + 6x - 16

x² + 6x - 16 - 39 = 0

x² + 6x - 55 = 0

(x + 11) (x -5) = 0

x1 = -11       x2 = 5       There are no lengths negatives so the right answer is

                                   5.

Length = 5 + 8 = 13 cm

Width = 5 - 2 = 3 cm

Area = (13)(3) = 39 cm²

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

c is the answer

step-by-step explanation: