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
Firlakuza [10]
3 years ago
5

Stephon has a square brick patio. He wants to reduce the width by 4 feet and increase the length by 4 feet.

Mathematics
1 answer:
alekssr [168]3 years ago
4 0

Answer:  The expressions for the length and width of the new patio are

\ell=x+4,~~w=x-4.

And the area of the new patio is 384 sq. feet.

Step-by-step explanation:  Given that Stephen has a square brick patio. He wants to reduce the width by 4 feet and increase the length by 4 feet.

The length of one side of the square patio is represented by x.

We are to write the expressions for the length and width of the new patio and then to find the area of the new patio if the original patio measures 20 feet by 20 feet.

Since Stephen wants to reduce width of the patio by 4 feet, so the width of the new patio will be

w=(x-4)~\textup{feet}.

The length of the patio is increased by 4 feet, so the length of the new patio will be

\ell=(x+4)~\textup{feet}.

Now, if the original patio measures 20 feet by 20 feet, then we must have

w=x-4=20-4=16~\textup{feet}

and

\ell=x+4=20+4=24~\textup{feet}.

Therefore, the area of the new patio is given by

A_n=\ell \times w=24\times16=384~\textup{sq. feet}.

Thus, the expressions for the length and width of the new patio are

\ell=x+4,~~w=x-4.

And the area of the new patio is 384 sq. feet.

You might be interested in
11=-5q+1 what dose it equal-5q+1 what dose q equal
S_A_V [24]

Answer:

The answer is q=-2.

Step-by-step explanation:

You must get q by its self so if you subtract 1 to both sides, you'll get 10=-5q. Now you must divide -5 on both sides to get q by its self. Now, you have -2=q.

6 0
3 years ago
a patient is to take 4 1/4 tablespoons of medicine per day in 5 equally divided doses. how much medicine is to be taken in each
Inga [223]
Okay. So we have to do division, because you're dividing 4 1/4 (17/4) tablespoons of medicine by 5 doses. The formula for multiplying fractions is keep, change, flip. 17/4 * 1/5 is 17/20. 17/20 tablespoon of medicine is supposed to be taken in each dose.
7 0
3 years ago
A right angled triangle has sides of length 9cm, 12cm and 15cm. Calculate its area in square centimetres.
Dmitriy789 [7]

The area of a right angled triangle with sides of length 9cm, 12cm and 15cm in square centimeters is 54 sq cm.

The formula to calculate the area of a right triangle is given by:

Area of Right Triangle, A = (½) × b × h square units

Where, “b” is the base (adjacent side) and “h” is the height (perpendicular side). Hence, the area of the right triangle is the product of base and height and then divide the product by 2.

We know that the hypotenuse is the longest side. So, the area of a right angled triangle will be half of the product of the remaining two sides.

Given sides of the triangle:

a=9cm

b=12cm

c=15cm

From this we know that the hypotenuse is c. Are of the triangle will be obtained by the other two sides.

∴Area = \frac{1}{2} x 9 x 12

= 54cm^{2}

5 0
1 year ago
Double a number is equal to the number decreased by five?
kotegsom [21]
2n=n-5  subtract n from both sides

n=-5

check...

2(-5)=(-5)-5

-10=-10
6 0
3 years ago
17d+32a=176 what is d?
Vlad [161]
Minus 32a from both sides
17d=176-32a
divide both sides by 17
d=\frac{176-32a}{17}
4 0
3 years ago
Other questions:
  • You rented a beach umbrella for 6 days. The first day was $20, each day afterwards the cots dropped by $2 a day. What did you sp
    12·1 answer
  • Is 6th grade hard of so tell, me.
    10·2 answers
  • What is the value of the red digit? 821,603,529. the res digit is number 8
    11·1 answer
  • A recipe requires 1/2 lb of onions to make 5 servings of soup . Mark has 3 lb of onions . How many servings can mark make?
    6·1 answer
  • At their school's craft fair, Diego and Rachel are both selling homemade bars of soap. So far,
    14·2 answers
  • Please help me:)
    14·1 answer
  • Look at screen shoottttttttttttttttttttttttttttttttttt
    9·1 answer
  • in preparation for game night, marion melted 1/2 cup of butter and poured it equally over 6 bowls of popcorn. how much butter di
    11·1 answer
  • What would be the easiest way to solve the system composed of the following two equations? 3=x+4y and 2x=-9
    9·1 answer
  • 3(x-k)/w =4
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!