The permeter of a rectange is 90 tt. Find the dmensuons of the rectangle if the rato of the lingth to the aith is 8 : 7 Which of the following would be the best eqzation to use to solve this prutien? \( 8 x+7 x=90 \) \( 2 x+2 x=90 \) \( \frac{10}{2 x}=90 \) \( 2(8 z)+2(7 z)-90 \)

To find the dimensions of the rectangle, we can use the given ratio of the length to the width, which is 8:7. Let's denote the length as 8x and the width as 7x. The perimeter of a rectangle is given by the formula: Perimeter = 2(length + width). Given that the perimeter is 90, we can set up the equation: \[ 2(8x + 7x) = 90 \] Simplifying the equation: \[ 2(15x) = 90 \] \[ 30x = 90 \] \[ x = 3 \] Now, we can find the length and width of the rectangle by substituting the value of x back into the expressions for length and width: Length = 8x = 8(3) = 24 Width = 7x = 7(3) = 21 Therefore, the dimensions of the rectangle are 24 units by 21 units. The best equation to use to solve this problem is \( 8x+7x=90 \).