The length of a picture is 15cm more than its width. The picture frame has a width of 4cm. What is the minimum length of material needed to make the frame for this picture?
*I am not good a Maths at all and even though i've tried to get help, I just dont seem to get it; its all too confusing for my brain, so I do not have any work to show.
Well, I'm here to help make things a little less confusing, with a side of humor too! Don't worry, I've got your back. Let's break it down step by step.
We know that the picture frame has a width of 4cm, so we can start by adding that to both the length and width of the picture. This way, we're essentially creating a larger square or rectangle that encompasses the picture, including the frame.
Let's say the width of the picture is "w" cm. Since the length of the picture is 15cm more than the width, the length would be "w + 15" cm.
Now, we add the frame's width of 4cm to both the length and width of the picture:
Width with frame = w + 4 cm
Length with frame = (w + 15) + 4 cm = w + 19 cm
To find the minimum length of material needed, we need to add up all the sides of the frame. Since opposite sides of a rectangle are equal, we can calculate it as follows:
2 * (Width with frame + Length with frame)
Substituting in the values:
2 * (w + 4 + w + 19)
Simplifying this further, we have:
2 * (2w + 23)
That gives us the expression for the minimum length of material needed for the frame. Now, all we need to do is simplify it:
4w + 46
So, the minimum length of material needed to make the frame for this picture is 4w + 46 cm.
I hope that helps! If you have any more questions or need further assistance, feel free to ask. And remember, even though math can be confusing, it doesn't have to be intimidating. We can always find some humor in the numbers!
The minimum length of material needed to make the frame for this picture is 23cm.
No problem! I'll walk you through the steps to solve this math problem step-by-step.
Let's call the width of the picture "w".
According to the problem, the length is 15cm more than the width. So, the length would be "w + 15".
Now, to find the length of material needed to make the frame, we need to consider both sides of the frame. Since there are two sides, we multiply the width by 2.
The width of the frame is given as 4cm.
To calculate the total length of material needed, we need to add the width of the frame to both sides of the picture. Therefore, the expression becomes: (w + 2 * 4) + (w + 15 + 2 * 4).
Simplifying that expression, we have: (w + 8) + (w + 23).
Combining like terms, we get: 2w + 8 + 23.
Further simplifying, 2w + 31.
So, the minimum length of material needed to make the frame for this picture is 2w + 31.
No worries, I'm here to help! Let's break this problem down step by step.
1. First, let's define the variables:
- Let's call the width of the picture "w" (in cm).
- The length of the picture is then "w + 15" (in cm), as it is 15 cm longer than the width.
- The width of the picture frame is given as 4 cm.
2. To find the minimum length of material needed to make the frame, we need to calculate the total length of all four sides of the frame.
3. The frame consists of two sides of width "w + 4" (top and bottom) and two sides of length "w + 15 + 4" (left and right).
4. To find the total length, we can add the lengths of all four sides together. So, the total length of material needed would be:
(w + 4) + (w + 4) + (w + 15 + 4) + (w + 15 + 4)
5. To simplify the expression, we combine like terms:
w + 4 + w + 4 + w + 15 + 4 + w + 15 + 4
6. Combining like terms, we get:
4w + 36
Therefore, the minimum length of material needed to make the frame for this picture is "4w + 36" cm.
Keep in mind that the specific value of "w" (width of the picture) would be needed to calculate the exact length of material required.