A stop sign has each side measures of 12.4 inches, and the distance from any side to the opposite side is 30 inches. Divide the stop sign into one rectangle and two trappezoids. What are the dimensions of the rectangle and each of the trapezoid
Ok I divided it 12.4 all 8 sides
Length of rectangle= 30 inches?
Width =
yes
no
huh
To divide the stop sign into one rectangle and two trapezoids, we can start by identifying the dimensions of the rectangle.
As per the given information, each side of the stop sign measures 12.4 inches, and the distance from any side to the opposite side is 30 inches.
Let's label the rectangle as ABCD, where A and C are the shorter sides and B and D are the longer sides.
Since the distance from any side to the opposite side is 30 inches, the longer sides B and D must be equal to 30 inches.
So, the dimensions of the rectangle ABCD are as follows:
- Length = 30 inches
- Width = the length of a side of the stop sign = 12.4 inches
Now, let's move on to dividing the stop sign into two trapezoids.
First, we need to visualize and understand the shape of a trapezoid. A trapezoid has two parallel sides, and the other two sides are nonparallel.
Looking at the stop sign, we can consider dividing it diagonally in both directions to create two trapezoids.
Trapezoid 1: ABFE
In this trapezoid, sides AB and EF are parallel, and sides AE and BF are nonparallel.
The dimensions of trapezoid ABFE are as follows:
- AB and EF = the length of a side of the stop sign = 12.4 inches
- AE and BF = the distance from any side to the opposite side = 30 inches
Trapezoid 2: CDGH
In this trapezoid, sides CD and GH are parallel, and sides CH and DG are nonparallel.
The dimensions of trapezoid CDGH are as follows:
- CD and GH = the length of a side of the stop sign = 12.4 inches
- CH and DG = the distance from any side to the opposite side = 30 inches
So, the dimensions of the rectangle and each of the trapezoids are:
Rectangle ABCD:
- Length = 30 inches
- Width = 12.4 inches
Trapezoid 1 ABFE:
- AB and EF = 12.4 inches
- AE and BF = 30 inches
Trapezoid 2 CDGH:
- CD and GH = 12.4 inches
- CH and DG = 30 inches