Your company is going to make frames as part of a new product they are launching.The frame will be cut out of a piece of steel and to keep the weight down,the final area should be 28 cm squared. The inside of the frame has to be 11 cm by 6 cm.What should be the width of the metal be?
Why twice the width i.e 2wis multiplied with length and breadth
To calculate the width of the metal, we need to subtract the area of the inside frame from the final area of the frame.
The area of the inside frame is given by multiplying the length and width:
Area of inside frame = Length of inside frame × Width of inside frame = 11 cm × 6 cm = 66 cm²
Now we can find the width of the metal by subtracting the area of the inside frame from the final area of the frame:
Width of metal = Final area of frame - Area of inside frame = 28 cm² - 66 cm² = -38 cm²
However, we have a negative value for the width of the metal, which doesn't make sense in this context. It seems that the given dimensions are not consistent. Please check the given information and provide the correct values for the final area and the inside frame dimensions.
To determine the width of the metal required for the frame, we can subtract the area of the inner rectangle from the total area of the frame. Here's how to calculate it:
1. Calculate the area of the inner rectangle:
- The length of the inner rectangle is given as 11 cm.
- The width of the inner rectangle is given as 6 cm.
- To find the area, multiply the length by the width: 11 cm * 6 cm = 66 cm².
2. Subtract the area of the inner rectangle from the desired total area of the frame:
- The desired total area of the frame is given as 28 cm².
- Subtract the area of the inner rectangle (66 cm²) from the total area: 28 cm² - 66 cm² = -38 cm².
Given that the result is -38 cm², it appears there may be an error or inconsistency in the information provided. The total area of the frame cannot be less than the area of the inner rectangle. Please double-check the measurements or provide additional information for further assistance.
(11+2w)(6+2w) - 11*6 = 28
now just solve for w