1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
posledela
3 years ago
15

Dora wants to put up a vegetable garden in their backyard. If the perimeter of the garden is 32 m and the area is 60 m2, what mu

st be the length and the width of the vegetable garden?​

Mathematics
2 answers:
Deffense [45]3 years ago
4 0
Length=6
Width=10
Or vice versa
inna [77]3 years ago
4 0

Step-by-step explanation:

so, it is an ideal rectangular shape ? because that is what the problem description is "hiding".

if that assumption is true, then we have

l = length

w = width

perimeter = 32 = 2×l + 2×w

=> 16 = l + w

l = 16 - w

area = 60 = l×w

now we use the perimeter equation to substitute in the area equation

60 = (16 - w) × w = 16w - w²

so, we get the squared equation

-w² + 16w - 60 = 0

the solution for such an equation is

x (or w in our case) = (-b ± sqrt(b² - 4ac))/(2a)

a = -1

b = 16

c = -60

w = (-16 ± sqrt(256 - 4×-1×-60))/-2 =

= (-16 ± sqrt(256 - 240))/-2 =

= (-16 ± sqrt(16))/-2 = (-16 ± 4)/-2

w1 = (-16 + 4) / -2 = -12/-2 = 6 m

w2 = (-16 - 4) / -2 = -20/-2 = 10 m

l1 = 16 - 6 = 10 m

l2 = 16 - 10 = 6 m

so, one of length and width must be 6 meter and the other 10 meter long. it does not matter which, as a rectangle turned by 90 degrees is still the same rectangle.

You might be interested in
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!
BabaBlast [244]

Hey!

Weight of small box = 5 lb. x no. of small boxes total weight = 5*x

Weight of Large boxes = 12 lb. y no. of large boxes total weight = 12*y

Total weight = 5x + 12y.

Since total weight carrying capacity of shelf is 80, thus the inequality becomes:

5x + 12y Less than or equal to 80.

(a) satisfies the inequality.

(b) satisfies the inequality.

Hope my answer helps!

7 0
3 years ago
The pentagons JKLMN and PQRST are similar.<br> Find the length x of PQ????? Help plssss
wariber [46]

Answer:

4.5

Step-by-step explanation:

4 0
2 years ago
A. After Lou poured 2 liters of water into a large jug, the jug
Finger [1]

Answer:

8 liters

Step-by-step explanation:

If the sum of 2 + x = 10,

then you subtract 10 - 2 = x,

to get x = 8

4 0
3 years ago
Read 2 more answers
5 The width of this rectangle is of the length. Find the
LenKa [72]

Answer:

4 in.

Step-by-step explanation:

8 0
3 years ago
Please help!! What is the measure of angle 1?
melomori [17]

Answer:

120 i think

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • The graph represents a distribution of data.
    11·2 answers
  • a visual display in which the frequency of each piece of data is represented by a dot on a number line
    13·1 answer
  • Write an equation of an ellipse in standard form with the center at the origin and a height of 12 units and width of 19 units.
    12·1 answer
  • What two numbers multiplies to 16 and adds to -17?
    15·1 answer
  • A force of 120 N is applied to an object that accelerates at a rate of 2 m/sec2. What is the mass of the object?
    13·1 answer
  • HELP‼️⚠️‼️⚠️‼️⚠️‼️⚠️‼️
    11·2 answers
  • I WILL GIVE BRAINLIEST!!!!!<br><br> Find an equation for the line below.
    14·2 answers
  • I
    14·1 answer
  • How can you use the relationship between side lengths to determine when 3 lengths form a triangle
    6·1 answer
  • Fill in the blank with the correct response.<br> Twenty-flve percent of 34 Is<br> Plz
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!