The perimeter of a rectangular garden is 252 centimeters. the length of the garden is five times the width. find the length and the width.

l = 105 cm; w = 21 cm

The formula for the perimeter of a rectangle is

P = 2(l+w)

We have the equations

(1) 2(l+w) = 252 cm

(2) l = 5w

Substitute Equation (2) into Equation (1):

2(5w + w) = 252 cm

2 × 6w = 12 w = 252 cm

w = 252 cm/12 = 21 cm

Substitute the value for w into Equation (2):

l = 5w = 5 × 21 cm = 105 cm

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step-by-step explanation:

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(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180