Answer:
The length of the shorter piece is 
.
The length of the longer piece is 
.
Step-by-step explanation:
The five-step method is GUESS method.
Given:
Length of steel beam, 
Length of longer piece is 1 foot longer than twice the shorter one.
Unknown:
Length of longer and shorter pieces of beam.
Let the length of shorter piece be 
feet.
Therefore, the length of longer beam is equal to 
Evaluate:
Sum of lengths of longer and shorter pieces of beam is equal to the total length of beam. So,
Substitute and Solve:
Now, we have, 
.
Substitute 5 for for the lengths of shorter and longer pieces and solve for each. This gives,
Length of shorter piece = 
Length of longer piece = 
Therefore, the lengths of shorter and longer pieces are and respectively.
<span>- The triangular patches have an area of 63 cm</span>² (A1= 63 cm²)<span>.
- The rectangular piece of fabric is 27 centimeters long and 21 centimeters wide.
1. Then, the first thing you must do is to calculate the area of the piece of fabric. The formula for the area of a rectangle is:
A2=LxW
L=27 centimeters (The lenght of the rectangle)
W=21 centimeters (The width of the rectangle)
2. When you substitute the values of L and W into the formula, you obtain:
A2=(27 cm)(21 cm)
A2=567 cm</span>²
<span>
3. Then, let's calculate how many triangular patches she can cut from a rectangular piece of fabric:
A2/A1= 567 cm</span>²/63 cm²= 9 triangular patches
4. Finally, you can calculate how many triangular patches she can cut from 33 rectangular pieces of the fabric:
(9 triangular patches)(33 pieces of fabric)=297 triangular patches
<span>
How many of the patches can Leia cut from 33 pieces of the fabric?
The answer is: 297 triangular patches</span>
