If the length of a rectangle is 5 m more than its width find the values of length and width if the area of a rectangle is 500 m²

Length of the rectangle  =25

width of the rectangle  = 20

Step-by-step explanation:

Step(i):-

Let 'x' be the width of the rectangle

Given that the length of a rectangle is 5 m more than its width

Given that Area of the rectangle = 500m²

length of a rectangle = x +5

width of a rectangle = x

Step(ii):-

Area of the rectangle = length × width

             500 = x ( x+5)

          x² + 5 x = 500

      ⇒  x² + 5 x - 500 =0

      ⇒  x² +25x - 20 x - 500 =0

    ⇒  x( x+25) -20(x+25) =0

  ⇒  (x-20)(x+25) =0

 ⇒  x =20 and x=-25

we can choose x =20

Step(iii):-

Length of the rectangle = x +5 = 20 +5 =25

width of the rectangle  = 20

Final answer:-

Length of the rectangle  =25

width of the rectangle  = 20

a: 1/6, j: 1/4

step-by-step explanation: you are welcome

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.