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Blizzard [7]
2 years ago
11

A rectangular garden measures by 30ft and 40ft. Surrounding (and bordering) the garden is a path 3ft wide. Find the area of this

path. Be sure to include the correct unit in your answer
Mathematics
1 answer:
Nookie1986 [14]2 years ago
5 0

Answer:

312 ft²

Step-by-step explanation:

<u>Area of the garden = Length x Width</u>

Area of the garden = 30 x 40 = 1200ft²

<u>Length of the garden and path = Length of the garden + 3 ft on both sides</u>

Length of the garden and path = 30 + 3 + 3 = 36 ft

<u>Width of the garden and path = Width of the garden + 2 ft on both side</u>

Width of the garden and path = 40 + 3 + 3 = 46 ft

<u>Area of the garden and path = Length x Width</u>

Area of the garden and path = 36 x 46 = 1512 ft²

<u>Area of the path = Area of the garden and path - Area of the garden</u>

Area of the path = 1512 - 1200 = 312 ft²

Answer: 312 ft²

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3 years ago
Find the side length of x (trigonometry)
MrRa [10]

Answer:

x=12.124

Step-by-step explanation:

here 7 and x are the legs of the triangle where as 14 is hypotenuse because it is opposite opposite to 90 degree.

using pythagoras theorem

a^2 + b^2 = c^2

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3 0
3 years ago
Travis is in a hot air balloon that has just taken off and is now floating 12 meters above its launching point. Shontal is stand
ozzi

Shontal is at a distance of 13 meters from the launching point

Step-by-step explanation:

Step 1 :

Given,

Distance of Travis from the launching point  = 12 meters

Distance of Shontal from the launching point = 9 meters

Step 2 :

Let A represent the launching point

B represent the point above the launching point at which the balloon is floating.

C represent the point where Shontal stands on the ground.

The angle made by AB with BC is 90 degrees because the balloon is directly above the launching point

Step 3:

So we have a right angle triangle here, with

AB = 12

BC = 9 and angle ABC = 90 degrees

We need to find out length of  AC

Using the theorem of Pythagoras,

AC² = AB² + BC²

AC² = 12² + 9² = 144 + 25 = 169 = 13

Step 4 :

Answer :

Shontal stands at a distance of 13 meters from the launching point

4 0
3 years ago
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