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
Alla [95]
3 years ago
9

The length of each side of a square is 3 in. more than the length of each side of a smaller square. The sum of the areas of the

squares is 65 in squared . Find the lengths of the sides of the two squares.
Mathematics
2 answers:
Taya2010 [7]3 years ago
4 0

Answer:

L_1 = 4

And L_2 = 3 +4 = 7

Step-by-step explanation:

For this case we assume that for the first square we have the following dimensions:

A_1 = L^2_1

And we know that:

L_2 = 3 + L_1

And the area for the second square would be:

A_2 = L^2_2 = (3+L_1)^2 = 9 + 6L_1 + L^2_1

And we know that the sum of areas is 65 so then we have this:

A_1 + A_2 = 65

And replacing we got:

L^2_1 + 9 + 6L_1 + L^2_1 = 65

2L^2_1 +6L_1 - 56=0

We can divide the last expression by 2 and we got:

L^2_1 + 3L_1 -28=0

And we can factorize the last expression like this:

(L_1 + 7) (L_1 -4) =0

And we have two solutions for L_1 and we got:

L_1 = 4, L_1 = -7

Since the length can't be negative we have this:

L_1 = 4

And L_2 = 3 +4 = 7

almond37 [142]3 years ago
4 0

Answer:

4 inch and 7 inch

Step-by-step explanation:

Let the length of the smaller square=l

Since the length of each side of a square is 3 in. more than the length of each side of a smaller square,

Length of the bigger square=l+3

Area of Smaller Square=l²

Area of Larger Square=(l+3)²

The sum of their areas is 65 inch squared

Therefore: l²+(l+3)²=65

l²+(l+3)(l+3)=65

l²+l²+3l+3l+9=65

2l²+6l+9-65=0

2l²+6l-56=0

2l²+14l-8l-56=0

2l(l+7)-8(l+7)=0

(2l-8)(l+7)=0

2l-8=0 or l+7=0

l=4 or -7

l= 4 inch

The length of the larger square is (4 +3) inch =7 inch

You might be interested in
Toms Toy car went 2 meters without stopping Roberts went 145 centimeters whose car went farther
r-ruslan [8.4K]

Answer:

Tom's car went further

Step-by-step explanation:

Since there are 100 centimeters in 1 meter - Roberts car went nearly 1 and a half meters or Tom's car went 200 centimeters.

6 0
2 years ago
Read 2 more answers
Mr. Voelz estimates that he will spend $10 on concessions at the basketball game. He actually spends $15. What is the percent er
irina [24]

Answer:

I am not sure but if you divide those 2 numbers such as dividing 10 by 15 you will get 0.666666666667 but if you round it you will have 67%

Step-by-step explanation:

Plz mark Brainliest

5 0
3 years ago
joe’s bathroom floor is 5 feet wide and 8 feet long. He will cover the floor with 3-inch square tiles. How many tiles does Joe n
slava [35]
5*8=40

40*12=480

480/30=160

Joe needs 160 tiles.
7 0
2 years ago
why do whole numbers raised to an exponent get greater while fractions raised to an exponent get smaller?
ehidna [41]
Any number above 1 gets greater, below 1 smaller (when above 0), while 1 itself remains the same. Negative numbers are more unpredictable.
8 0
3 years ago
Read 2 more answers
Jane bought 5 apples at $120 each. She sells them to John to make a profit of 10%. What is the selling price of each apple?​
Alex787 [66]

Answer:

she resells each apple for $132

Step-by-step explanation:

I multiplied 120 by 0.1 to find how much she would be marking up the price of each apple. I got the answer of $12. So then I added that $12 to $120 and got the new price of $132.

I checked my work I swear it's correct

hope this helps chu <3

5 0
3 years ago
Other questions:
  • 7. Let f(x)=4x+7 and g(x)=3x-5. Find (g o f )(-4)<br> A. -61<br> B. -32<br> C. -9<br> D. -64
    9·2 answers
  • Scientific notation question.
    13·1 answer
  • I’m stuck need help ASAP
    13·2 answers
  • a garage floor measures 150 feet by 120 feet a scale drawing of the floor on grid paper uses a scale of 1 unit : 15feet what are
    7·2 answers
  • What is number 3??????????????????
    9·2 answers
  • A bond with a face value of $1,000 and 15 years remaining until maturity pays a coupon rate of 10% semi-annually. Calculate its
    7·1 answer
  • Your teacher assigned 30 practice problems. You completed 15 on Monday and 10 more on Tuesday. What fraction of the 30 problems
    12·1 answer
  • Sean began jogging to live a healthier lifestyle. On his first run, he ran one-half mile. He increased his workouts by adding tw
    14·2 answers
  • Please help will mark BRAINLIEST
    10·1 answer
  • What's the value of x? (Hint: it's not 7) and please explain
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!