Respuesta :
Answer:
Perimeter of the rectangle = 32 cm
Step-by-step explanation:
Explanation:-
Let the height of the rectangle = 'x' cm
Thus the length of the rectangle = x + 4 cm
Perimeter of the rectangle = 2 ( length + height )
Area of the rectangle = length X height
Given area of the rectangle = 60 cm²
( length X height ) = 60
( x + 4) x =60
x² + 4 x - 60 =0
x² + 10 x- 6 x - 60 =0
x ( x+10) - 6 ( x + 10 ) =0
(x+10) ( x -6 ) = 0
x = -10 and x =6
we can choose x =6
The height of the rectangle(H) = 'x' = 6 cm
The length of the rectangle (L)= 6 + 4 = 10cm
Perimeter of the rectangle = 2 ( length + height )
= 2 ( 10 + 6 )
= 32 cm
∴ Perimeter of the rectangle = 32 cm
Answer:
32 cm
Step-by-step explanation:
height = x
length = x+4
x(x+4)=60
x^2 +4x=60
make it into quadratic formula
x^2 + 4x - 60 =0
a=1
b=-4
c=-60
4^2-4*1*(-66)
discriminant equals to 256
square root of 256 equals to 16
x=-4+16/2 = 6
x=-4-16/2 = -10
we will use 6
length is x+4 so 6+4 = 10
width is x = 6
10 plus 10 = 20
6 plus 6= 12
20+12=32 cm
