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
Pani-rosa [81]
2 years ago
13

What is the area of the figure?

Mathematics
1 answer:
hichkok12 [17]2 years ago
8 0

Answer:

58.5 ft²

Step-by-step explanation:

The figure is made up of a square, triangle and rectangle. Thus, the area of the figure is the sum of the areas of the square, triangle and rectangle.

Let's find the area of each!

<u>Square</u>

Area of square= side ×side

Area

= 3(3)

= 9 ft²

<u>Triangle</u>

Area of triangle= ½ ×base ×height

Base= 11 ft

Height= 3 ft

Area

= ½(11)(3)

= 16.5 ft²

<u>Rectangle</u>

Area of rectangle= length ×breadth

Area

= 3(11)

= 33 ft²

Area of figure

= 9 +16.5 +33

= \textcolor{red}{58.5 \: {\text{ft}} {}^{2} }

You might be interested in
Need help with 7 please?!
Ira Lisetskai [31]
Equations is what you have to do

7 0
3 years ago
Spencer made a quilt for his cousin's doll. The quilt had a 7x7 array of different color square patches. If each patch is 1 3/4
Damm [24]

Answer:

\frac{2401}{16} square inches

Step-by-step explanation:

Given:

The quilt made by Spencer had a 7×7 array of different color square patches such that each patch is 1\frac{3}{4} in long.

To find: the area of the whole quilt

Solution:

Side of each quilt = 7(\frac{3}{4})=7(\frac{7}{4})=\frac{49}{4}

Quilt is in the form of a square such that area of square is given by (side)^2

Therefore, area of quilt = (side)^2=(\frac{49}{4})^2 =\frac{2401}{16}  square inches

3 0
3 years ago
A closed, rectangular-faced box with a square base is to be constructed using only 36 m2 of material. What should the height h a
kkurt [141]

Answer:

b=h=\sqrt{6} m

Step-by-step explanation:

Let

Bas length of box=b

Height of box=h

Material used in constructing of box=36 square m

We have to find the height h and base length b of the box to maximize the volume of box.

Surface area of box=2b^2+4bh

2b^2+4bh=36

b^2+2bh=18

2bh=18-b^2

h=\frac{18-b^2}{2b}

Volume of box, V=b^2h

Substitute the values

V=b^2\times \frac{18-b^2}{2b}

V=\frac{1}{2}(18b-b^3)

Differentiate w. r.t b

\frac{dV}{db}=\frac{1}{2}(18-3b^2)

\frac{dV}{db}=0

\frac{1}{2}(18-3b^2)=0

\implies 18-3b^2=0

\implies 3b^2=18

b^2=6

b=\pm \sqrt{6}

b=\sqrt{6}

The negative value of b is not possible because length cannot be negative.

Again differentiate w.r.t b

\frac{d^2V}{db^2}=-3b

At  b=\sqrt{6}

\frac{d^2V}{db^2}=-3\sqrt{6}

Hence, the volume of box is maximum at b=\sqrt{6}.

h=\frac{18-(\sqrt{6})^2}{2\sqrt{6}}

h=\frac{18-6}{2\sqrt{6}}

h=\frac{12}{2\sqrt{6}}

h=\sqrt{6}

b=h=\sqrt{6} m

7 0
3 years ago
0.3, 0.08, 0.003, 0.83<br> In order from smallest to largest
pishuonlain [190]
0.003, 0.08, 0.3, 0.83
3 0
2 years ago
Read 2 more answers
Simplify the expression x + 2x + x + x + x + x
tino4ka555 [31]

Answer:7x

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • Is my answer correct?
    10·1 answer
  • You buy two ads in a newspaper. One ad takes up 58 of a page, and the other ad takes up 18 of a page. How much space did you buy
    5·1 answer
  • Greg gets a hit 24% of the times he is at bat. If he got 18 hits this season, how many at- bats did he have?​
    10·1 answer
  • How to solve the inequality x+8&gt;2
    5·1 answer
  • Can anyone help me on this question please????
    5·1 answer
  • X + 2
    9·1 answer
  • Please help <br> 64-20s+s 2squared
    12·1 answer
  • Is 864,050 divisible by 10?
    14·2 answers
  • Pls help! Be honest pls be honest......
    9·1 answer
  • What is the area of this trapezoid?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!