Answer: 11x
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Explanation:
Let L be the length of rectangle B
There are two copies of L (along the top and bottom of the rectangle). The vertical pairs of sides are both 7x each.
For the triangle, we have three sides of 12x since this is an equilateral triangle. All three sides are congruent for any equilateral triangle.
The perimeter of the triangle is
P = s1+s2+s3
P = 12x+12x+12x
P = 36x
The perimeter of the rectangle is
P = 2*L+2*W
P = 2L+2*7x
P = 2L+14x
Since both perimeters are the same, this means
perimeter of triangle = perimeter of rectangle
36x = 2L+14x
36x-14x = 2L+14x-14x
22x = 2L
2L = 22x
2L/2 = 22x/2
L = 11x
So the length of the rectangle, in terms of x, is 11x. This is the final answer.
Note: if we knew the value of x, then we could find the numeric value of the length for the rectangle. But since we don't know x, we leave it as 11x.
Answer:10m-162 simplifying the expression
Step-by-step explanation:
First you remove the parenthesis, and you collect all the terms to give u and answer.
2x+8 = 8(x-5)
expand the rhs to get
2x+8 = 8x-40
now we minus 2x and add 40 to make one side without the unknown and the other with the unknown. you have
48 = 6x
x = 48/6
= 8
Answer:
350 of the students are girls.
Step-by-step explanation:
5+7 = 12
600/12 = 50
50 x 7 = 350
Answer:
<u>The dimensions of the real store are 80 times bigger as per scale:</u>
- 1.875 in * 80 = 150 in = 150/12 ft = 12.5 ft
- 2.25 in * 80 = 180 in = 180/12 ft = 15 ft
<u>The area of the real store:</u>
- 150 in * 180 in = 27000 in²
- 12.5 ft * 15 ft = 187.5 ft²
