All categories

2 years ago

What is the area of the pentagon shown below a.27 square feet b. 58.5 c.85.5 d.117

Mathematics

1 answer:

Sergio [31]2 years ago

3 0

Answer:

Option B, Area of pentagon = 58.5 Square feet

Step-by-step explanation:

The remaining part of the question is attached as image

Solution

Area of pentagon has a triangle and a trapezoid

Area of triangle = 0.5 *base *height = 0.5*9 *3 = 13.5 square feet

Area of trapezoid = Area of rectangle – 2* area of smaller triangles

= 9 ft * 6ft – ( 2 * 0.5 * 6 ft * (9 ft – 6ft) /2

= 54 – (1*6*1.5)

Area of pentagon = 13.5 + 45 = 58.5 Square feet

Hence, option B is correct

You might be interested in

Jack picked 76 apples. Of these, he sold 4y apples to Juanita and 3t apples to Sylvia. If he kept the remaining apples, how many

Alex Ar [27]

Answer:

Number of apples remaining with him will be 2 when we combined both the conditions.

Step-by-step explanation:

Given;

Number of apples Jack Picked =76

Number of apples sold to Juanita = 4y

Number of apples sold to Sylvia = 3t

We need to find the Number of apples remaining with him.

Solution:

To find the Number of apples remaining with him we will Subtract Number of apples sold to Juanita and Number of apples sold to Sylvia from Number of apples Jack Picked.

framing in equation form we get;

Number of apples remaining with him = $76-4y-3t$

Now Given:

Condition 1 : y ≥ 15 and t = 2

So we can assume y =16 and t =2

Number of apples remaining with him = $76-4\times16-3\times2 = 76 -64 -6 = 6$

Also we can say that y =17 and t =2

Number of apples remaining with him = $76-4\times17-3\times2 = 76 -68 -6 = 2$

So the Given data is Insufficient to find the Number of apples remaining with him.

Condition 2 : y = 17

Number of apples remaining with him = $76-4\times17-3t = 76 -68 -3t = 8-3t$

Since value of t is not given we can say that;

Given data is insufficient to find the number of apples remaining with him.

Condition 3 : Combined i.e y = 17 and y≥ 15 t = 2

Number of apples remaining with him = $76-4\times17-3\times2 = 76 -68 -6 = 2$

Hence we can say that Number of apples remaining with him will be 2 when we combined both the conditions.

7 0

3 years ago

You guys are my 911 HELP ILL GIVE POINTS: find the area of the shape shown below

Vladimir [108]

It’s 28 my g.
That little missing piece at the end has an area of 4. The square has an area of 16, and the other part is basically also the square, missing a piece that equals 4. The question would be 16 x 2 -4= 28 .

Pls Mark Brainliest
Comment if you want me to explain the actual math in detail

3 0

3 years ago

Jane needs $20 to buy her radio. She has saved $15.

UNO [17]

Answer: i think it's 75

Step-by-step explanation: because 5 is half of 10 and 10 is half it makes 75

5 0

2 years ago

What is 2 x 10 to the fourth power - 7 to the fourth power?

allochka39001 [22]

Answer:

10^4 = 10 x 10 x 10 x 10 = 10,000. 2 x 10,000 = 20,000. 7^4 = 7 x 7 x 7 x 7 = 2,401. 20,000 - 2,401 = 17,599.

Step-by-step explanation:

hope this helps

5 0

2 years ago

What type (irrational, Rational, whole, natural, integer) of numbers are these?

laiz [17]

Answer:

See Below

Step-by-step explanation:

1) Rational AND Integer

2) Irrational

3) Whole Number

4) Natural Number

Hope this helps!

5 0

2 years ago