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inessss [21]
3 years ago
7

A square with a perimeter of 20 inches is cut into 2 pieces, which are attached by their short ends to make a rectangle. What is

the perimeter of this rectangle?
Mathematics
1 answer:
alina1380 [7]3 years ago
8 0

Answer:

25 inches

Step-by-step explanation:

If square has a perimeter of 20 inches, the length of each side is:

s=\frac{20}{4}\\ s=5\ in

After cutting the square in half, we are left with two rectangles of 5 in x 2.5 in

Attaching those two smaller rectangles by their short end (2.5 in side), gives us a new rectangle with a height of 2.5 in and a length of 10 in (sum of the 5 in sides in each rectangle). The perimeter of this new rectangle is:

P=2*2.5+2*10\\P=25\ in

The perimeter is 25 inches.

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Read 2 more answers
The height of a triangle is 8ft greater than the base. The area of the triangle is 136.5 square ft. Find the length of the base
mixer [17]

Answer:

the base is 9/2 ft and the height is 9/2 + 8, or 25/8, ft.

Step-by-step explanation:

Note that the formula for the area of a triangle is A = (1/2)(base)(height).  Let's abbreviate that to A = (1/2)(b)(h).   We are told that h = b + 8.

Then A = 136.5 = (1/2)(b)(b + 8), or

               (after multiplying both sides by 2)

          A = 273 = b^2 + 8b

                which, when put into standard quadratic form, becomes:

b^2 + 8b - 273 = 0

The coefficients of this quadratic are a = 1, b = 8 and c = -273.

Thus, the discriminant is b^2 - 4ac, or 64 - 4(1)(-273) = 1156 = 17^2.

The roots are then

      -8 ± √1156            -8 ± 17

x = --------------------  =  ------------ = 9/2 and -25/2

              2                          2

Only the root 9/2 makes sense here, because measurements of length are positive.

Thus, the base is 9/2 ft and the height is 9/2 + 8, or 25/8, ft.

3 0
3 years ago
At a basketball game, a team made 52 successful shots. They were a combination of 1- and 2-point
Oksi-84 [34.3K]

Answer:

17 for 1 point shots and 35 for two point shots.

Step-by-step explanation:

let the number of 1 point shots be x

let the number of 2 point shots be y

 

x + y = 52          (1)

x + 2y = 87        (2)

 

subtracting (1) from (2)

 

y = 35

 

from (1) x = 52 - y = 52 - 35 = 17

 

Hence number of 1 pointers = 17

 

number of 2 point shots = 35

 

checking; 17 + 35 =52 ; and 17+ 2*35 = 87

7 0
3 years ago
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