Determine the perimeter and area of a rectangle that has a width of 6 inches and a length of 8 inches.
Using a ratio of 1:2, draw a similar rectangle that is double the width and length of the first shape. Determine the perimeter and area of this new rectangle.
Draw one more rectangle using a ratio of 1:3 (a rectangle that is triple the width and length of the original shape).
P = 2L + 2W
P = (2 * 8) + (2 * 6)
P = 16 + 12
P = 28
A = L * W
A = 6 * 8
A = 48 sq. inches
Thank you so much. I got that part but I don't understand using the ratio 1:2.
Perimeter of rectangle:
P=2w+2l
P=2(w+l)
Area of rectangle:
A=w*l
w=width
l=length
w=6in l=8in
P=2(w+l)
P=2*(6+8)=2*14=28in
A=w*l=6*8=48in^2
Ratio 1:2
w=2*6=12in l=2*8=16in
P=2(w+l)
P=2*(12+16)=2*28=56in
A=w*l=12*16=192in^2
Ratio 1:3
w=3*6=18in l=3*8=24in
P=2(w+l)
P=2*(18+24)=2*42=84in
A=w*l=18*24=432in^2
To determine the perimeter and area of a rectangle, we need to use the formulas:
Perimeter = 2(length + width)
Area = length * width
First, let's calculate the perimeter and area for the original rectangle with a width of 6 inches and a length of 8 inches.
Perimeter = 2(8 + 6) = 2(14) = 28 inches
Area = 8 * 6 = 48 square inches
Now, let's draw a similar rectangle that is double the width and length of the original shape using a ratio of 1:2.
To double the width and length, we multiply each side by 2:
Width = 6 * 2 = 12 inches
Length = 8 * 2 = 16 inches
Now, we can determine the perimeter and area of this new rectangle.
Perimeter = 2(16 + 12) = 2(28) = 56 inches
Area = 16 * 12 = 192 square inches
Next, let's draw one more rectangle using a ratio of 1:3, which means it will be triple the width and length of the original shape.
To triple the width and length, we multiply each side by 3:
Width = 6 * 3 = 18 inches
Length = 8 * 3 = 24 inches
Now, let's calculate the perimeter and area of this new rectangle.
Perimeter = 2(24 + 18) = 2(42) = 84 inches
Area = 24 * 18 = 432 square inches
So, the perimeter and area of the rectangle with a width of 6 inches and a length of 8 inches are 28 inches and 48 square inches, respectively.
The perimeter and area of the rectangle that is double the width and length (with a width of 12 inches and length of 16 inches) are 56 inches and 192 square inches, respectively.
Finally, the perimeter and area of the rectangle that is triple the width and length (with a width of 18 inches and length of 24 inches) are 84 inches and 432 square inches, respectively.