2 rectangles have equal areas determine the area of each rectangle then use this info to determine the perimeter.
rectangle one:
length of 2p + 3
width of 3.8
after my work i got p= 1.5
so the area is 14.4 and the perimeter is 19.6
is it correct?
rectangle 2 :
length of 6-p
width of 2.4
and im stuck on this one
can someone check my work for the first rectangle and help me on the second one, thanks :)
To find the area of a rectangle, you multiply its length by its width. Let's start by finding the area of the first rectangle:
Length of rectangle one = 2p + 3
Width of rectangle one = 3.8
To find the area, substitute the given values into the formula:
Area of rectangle one = (2p + 3) * 3.8
Now, let's solve for the value of p. You mentioned that your calculation resulted in p = 1.5. Plug this value into the formula and calculate:
Area of rectangle one = (2 * 1.5 + 3) * 3.8
= (3 + 3) * 3.8
= 6 * 3.8
= 22.8
So the area of rectangle one is 22.8.
To find the perimeter of a rectangle, you add up all the sides. Since you have the length and width of rectangle one, you can calculate its perimeter. The formula for the perimeter of a rectangle is given by:
Perimeter of rectangle one = 2 * (length + width)
Let's substitute the given values and calculate:
Perimeter of rectangle one = 2 * (2p + 3 + 3.8)
= 2 * (2p + 6.8)
= 4p + 13.6
With p = 1.5, the perimeter of rectangle one is:
Perimeter of rectangle one = 4(1.5) + 13.6
= 6 + 13.6
= 19.6
So the perimeter you calculated for rectangle one is correct.
Now, let's move on to the second rectangle:
Length of rectangle two = 6 - p
Width of rectangle two = 2.4
To find the area, substitute the given values into the formula:
Area of rectangle two = (6 - p) * 2.4
To calculate the perimeter of rectangle two, we need to know the value of p. Unfortunately, you didn't mention the value of p for rectangle two, so we can't calculate the perimeter without that information.
If you provide the value of p for rectangle two, I can help you calculate its area and perimeter.