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jeka94
3 years ago
11

A landscaper is making a garden bed in the shape of a rectangle. The length of the garden bed is 2.5 feet longer than twice the

width of the bed. The area of the garden bed is 62.5 square feet. What is the perimeter of the garden bed, in feet?
Mathematics
1 answer:
Step2247 [10]3 years ago
7 0

Answer:

I'll setup the problem, then you can do the calculations

Step-by-step explanation:

Perimeter = 2width(W) + 2length (L)

Area = LW

L = 2.5 + 2W

LW = 62.5

substitute L in equation for area

2.5W +  {2W}^{2}  = 62.5 \\  \\  {2W}^{2}  + 2.5 - 62.5 \\  \\  use \:  quadratic \:  solution \\\frac{ - b ±  \sqrt{ {b}^{2}  - 4ac}}{2a}

a = 2; b = 2.5; c = 62.5

send a comment if you have a question

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How many triangles will be in the 5th set of triangles?
tia_tia [17]

Answer:

25.

Step-by-step explanation:

I am assuming you only mean the small triangles, not the composite ones.

The  second  triangle set has 3 triangles on bottom row and 1 on the top - total 4.

The 3rd triangle set has 5 triangles on the bottom , 3 on the next up and 1 on the top  - total  9

Following the pattern 4th set will have the number of triaNGLES

7 + 5 + 3 + 1 = 16.

So the 5th will have 9 + 7 + 5 + 3 +1 = 25 triangles.

6 0
3 years ago
Please help me. It’s geometry
Verizon [17]

Option 3:

m∠ABC = 66°

Solution:

Given \overline {F A D} \| \overline {E H C} and ABH is a transversal line.

m∠FAB = 48° and m∠ECB = 18°

m∠ECB = m∠HCB = 18°

<u>Property of parallel lines: </u>

<em>If two parallel lines cut by a transversal, then the alternate interior angles are equal.</em>

m∠FAB = m∠BHC

48° = m∠BHC

m∠BHC = 48°

<u>Exterior angle of a triangle theorem: </u>

<em>An exterior angle of a triangle is equal to the sum of the opposite interior angles.</em>

m∠ABC = m∠BHC + m∠HCB

m∠ABC = 48° + 18°

m∠ABC = 66°

Option 3 is the correct answer.

4 0
3 years ago
For his son's birthday party, Mr. Mori bought four equally-priced pizzas and a $3 bag of potato chips. If he spent $39, find the
trasher [3.6K]

Answer:

the pizza cost $49 dollars

4 0
2 years ago
Read 2 more answers
The ratio of boys to girls in a group is 7:1. If there are 66 more boys than girls, work out how many girls there are
nevsk [136]

Answer:11

Step-by-step explanation:

Boys : girls=7:1

Sum of ratio=7+1=8

Let them number of girls be y

Then they number of boys=y+66

Total number of pupils=y+y+66

Total number of pupils=2y+66

Number of girls=(girls ratio)/(sum of ratio) x (total number of pupils)

y=1/8 x (2y+66)

Cross multiply

y x 8=2y + 66

8y=2y + 66

Collect like terms

8y-2y=66

6y=66

Divide both sides by 6

6y/6=66/6

y=11

The number of girls is 11

4 0
2 years ago
Find the dimensions of a rectangle whose perimeter is 22 meters and whose area is 28 square meters.
UkoKoshka [18]
I hope this helps you

3 0
3 years ago
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