Rectangles ABCD and PQRS have the same length-to-width ratio. Calculate the length of rectangle PQRS
rectangle abcd:
L: 30 cm
W: 18 cm
rectangle pqrs:
L: ?
W: 27 cm
30/18 = L/27
5/3 = L/27
3L = 5(27)
L = 45
Well, if both rectangles have the same length-to-width ratio, we can use that information to find the length of rectangle PQRS.
The length-to-width ratio of rectangle ABCD is L:W = 30 cm : 18 cm, which simplifies to 5:3.
To find the length of rectangle PQRS, we can use this same ratio. Since the width of PQRS is 27 cm, we can set up the equation:
5/3 = L/27
To solve for L, we can cross multiply:
3L = 5 * 27
Simplifying further:
3L = 135
Dividing both sides by 3:
L = 45 cm
So, the length of rectangle PQRS is 45 cm. Now, I hope these rectangles don't get too "rectangled" with all these calculations!
To calculate the length of rectangle PQRS, we need to find the length-to-width ratio of rectangle ABCD and then apply the same ratio to the width of rectangle PQRS.
The length-to-width ratio is determined by dividing the length by the width.
For rectangle ABCD:
Length-to-width ratio = Length / Width = 30 cm / 18 cm = 5/3
Now, we'll use this ratio to find the length of rectangle PQRS:
Length of PQRS = Ratio * Width of PQRS
Length of PQRS = (5/3) * 27 cm = (5 * 27 cm) / 3 = 135 cm / 3 = 45 cm
Therefore, the length of rectangle PQRS is 45 cm.
To calculate the length of rectangle PQRS, we need to determine the length-to-width ratio of both rectangles and use that ratio to find the missing length.
The length-to-width ratio of rectangle ABCD can be calculated by dividing the length by the width:
Length-to-width ratio of ABCD = L / W = 30 cm / 18 cm = 1.67
Since rectangles ABCD and PQRS have the same length-to-width ratio, we can assume that the ratio is constant for both rectangles.
Now, we can set up an equation to find the length of PQRS using the known width:
Length-to-width ratio of PQRS = Length of PQRS / Width of PQRS = 1.67
Substituting the width value of PQRS (27 cm) into the equation:
1.67 = Length of PQRS / 27 cm
To solve for the Length of PQRS, we can multiply both sides of the equation by 27 cm:
Length of PQRS = 1.67 * 27 cm
Calculating this expression, we find:
Length of PQRS ≈ 45.09 cm
Therefore, the length of rectangle PQRS is approximately 45.09 cm.