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Sati [7]
3 years ago
6

The length of a rectangle is 7 inches less than its width. The perimeter of the

Mathematics
1 answer:
azamat3 years ago
3 0

Answer:

8 in.

Step-by-step explanation:

Perimeter of a rectangle, P = 2(L + W)

Value of P = 46.

Length is 7 inches less than the width.  This translates to L = W - 7

Substitute L = W - 7 into the perimeter equation, you get

46 = 2(W - 7 + W)

46 = 2(2W - 7)

46 = 4W - 14

4W = 60

W = 60 / 4 = 15 in

L = W - 7 = 15 - 7 = 8 in

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The area of a rectangular field is 2275 m2. The field is enclosed by 200 m of fence. What are the dimensions of the field?
AURORKA [14]
So it is enclosed by 200 m of  fence
perimiter=200 m
it is a rectangle to
p=legnth+legnth+width+width or
p=l+l+w+w or
p=2l+2w or
p=2(l+w)
so
p=200
200=2(l+w)
divide both sides by 2
100=l+w
area=l times w
area=2275
lw=2275
l+w=100
combine and solve
l+w=100
subtract w
l=100-w
subisutute 100-w for l in other eqution
(100-w)(w)=2275
distribute
-w^2+100w=2275
add (w^2-100w) to both sides
0=w^2-100w+2275
factor
find what 2 numbers add up to -100 and multiply to get 2275
guess (or factor 2275 and find factors that add up to -100)
figure out that they are -65 and -35
0=(w-65)(w-35)
set each to zero
0=w-65
0=w-35

solve for w
w=65 or 35
65>35 so
65 m=legnth
35 m=width
 
4 0
3 years ago
Jason had one hundred fifty-nine dollars to spend six books.After buying them he had fifteen dollars.How much did each book cost
Alla [95]

Answer:

11.5

Step-by-step explanation:

Divide: 159:6-15

Calculate: 26.5-15

\\11.5//

6 0
3 years ago
Read 2 more answers
What is the area of the acute triangle given below?<br> A.18<br> B.72<br> C.36<br> D.26
Temka [501]

Hi there!

Area of a triangle: 1/2bh

Substitute 6 for h and 12 for b.

1/2(12)(6)

Multiply (12)(6).

1/2(72)

Divide 72 by 2.

36

C) 36 sq. units

Hope this helps!
3 0
3 years ago
Linear equation: -1
hoa [83]

Answer:

see below

Step-by-step explanation:

-1/2 * (6x + 10) = 13

Distribute -1/2

–3x – 5 = 13

Add 5 to each side

-3x-5+5 = 13+5

–3x = 18

Divide each side by -3

-3x/-3 = 18/-3

x = -6

6 0
2 years ago
Can someone help me please
Lady_Fox [76]

i think it is four..?



4 0
3 years ago
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