Sara has 7/21 yard of ribbon. What is the maximum number of 1/3 yard-long pieces Marilyn can cut from this ribbon?
1 answer:
You might be interested in
Answer:
85 square inches
Step-by-step explanation:
I think your question missed key information, allow me to add in and hope it will fit the orginal one. Please have a look at the attached photo
My answer:
From the question, four congruent equilateral triangles with the following information:
- The height: 6.06 inches
- The base : 7 inches
=> The area of the quilateral triangle is:
=1/2*the base*the height
= 1/2*60.6*7
= 21.21 square inches
=> the surface area of Abby's decoration is:
= 4 * The area of the quilateral triangle
= 4*21.21
= 84.84 square inches
≈ 85 square inches
Hope it will find you well.
Answer:
24 units
Step-by-step explanation:
Start by plotting on the rectangular coordinate system the four points given: (6,-3), (3,-6), (-1,-2) , and (2, 1)
Please see attached image for guidance with the answer.
These four points are represented with green dots in the image.
Notice that such rectangle can be viewed as inscribed in a larger square that is 7 units by 7 units, and on which these four points (the vertices of the rectangle) touch the square's perimeter.
So to make the calculation simple, we can find the area of the larger square (very simple to calculate since it is 7 times 7 = 49) and subtract from it the area of the four triangles that are depicted in yellow and in light green. Such result will give us the area of the rectangle (white background).
Out of the four triangles whose areas we need to extract, we notice that they are all right angle triangles with simple formulas to calculate their areas: base times height divided by 2.
The triangles in green have base 3 and height 3 so their areas are: (3 * 3) /2 = 4.5. since they are two of these the total area of the green triangles is 4.5*2 = 9
We do something similar with the yellow triangles, noticing that their base and heights are 4 and 4 respectively which gives an area of (4*4)/2 = 8
Again, since there are two of them, we multiply this by 2: 8 * 2 = 16
Now to calculate the area of the white rectangle we do:
Area of big square minus area of green triangles minus area of yellow triangles: 49 - 9 - 16 = 24
