Ill give away 100 pts for the answer
1 answer:
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Answer:
143 inches
Step-by-step explanation:
Let the triangle be inches long.
Then the perimeter of the equilateral triangle will be inches.
Let the length of the square also be inches.
Then the perimeter is
It was given that the perimeter of the equilateral triangle is 77 inches more than the perimeter of the square.
So we can write the relation
Also, the side of the triangle is 55 inches longer than the side of the square.
So we write or
We put equation (2) into equation (1) to get;
We expand the bracket to get;
Hence the triangle is 143 inches long.
Answer:
<h3>a) 3/4</h3><h3>b) 4:3</h3>Step-by-step explanation:
Find the diagram attached.
Given the scale factor of circle A to circle B as 3/4
A:B = 3:4
Total ratio = 3+4 = 7
Area of bigger square A = 45sq. units;
The Total area can be gotten using the expression;
where;
x is the total area of both circles.
Get x;
Area of circle B = 78.75 - 45 = 33.75
Let the fraction required be y
45 * y = 33.75
y = 33.75/45
y = 3375/4500
y = 45/60
y = 3/4
Hence the area of circle B is 45 * <u>3/4</u> of circle A
b)The ratio of circle A to Circle B is expressed as;
Ratio = Area of circle A/Area of circle B
Ratio = 45/33.75
Ratio = 45 * 100/3375
ratio = 4500/3375
Ratio = 4:3
Hence the ratio of circle A to Circle B is 4:3
