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Elena L [17]
2 years ago
8

An architectural drawing lists the scale as 1/4" = 1'. If a bedroom measures 3 1/2" by 5 1/4" on the drawing, how large is the b

edroom?
A. 20 ft by 30 ft
B. 7ft by 10.5 ft
C. 14 ft by 21 ft
D. 10 ft by 15 ft
Mathematics
1 answer:
Alla [95]2 years ago
7 0

Answer:

C. 14 ft by 21 ft

Step-by-step explanation:

First you want to set up an equation:

3 1/2" over x' = 1/4" over 1'

7/2 = 1/4x

14' = x

Next, do the same thing for the other side of the drawing (5 1/4")

5 1/4" over y' = 1/4" over 1'

21/4 = 1/4y

21' = y

So the answer is 14 ft by 21 ft (C)

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Robert drew a parallelogram with 2 55 degree angles. What are the measures of the 2 other angles? Both of the angles have to be
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Angles in a parallelogram have to equal 360.

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2(55) + 2x = 360
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Emily draws figures P, Q, R, and S. The center of dilation is point Z. Which figures are similar to figure Q? Explain your reaso
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Kaylee has 2 gallons each of red and blue paint, and 1 gallon each of orange and green paint. She paints her bedroom with these
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Answer:

3( 73/84 )left over

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She had 6 gallons in total

2/3+1/4+1/2+5/7=179/84   =  2 ( 11/84)

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She used  179/84

She have left 325/84

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   With mixed numbers:

2  11/84  

3  73/84

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8 0
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Pedro is building a playground in the shape of a right triangle he wants to know the area of the playground to help him decide h
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Answer:

Amount of sand=Area of triangle(ABC)=1/2*AB*BC

Dimension of rectangle as  length=BC and breadth=AB

Step-by-step explanation:

Given:

Pedro building a playground in shape of right angled triangle.

To Find:

How much sand he need to buy

And if playground changed to rectangle what will be the dimensions.

Solution:

<em>Consider a ΔABC be the play ground vertex of playground,</em>

<em>And AB and BC be the sides making right angle.</em>

The sand required to fill ground will be the amount of are covered by the ABC triangle.

So,

Area Of triangle(ABC)=1/2* base* height

Here base will be BC and height =AB

Therefore Area of Triangle(ABC)=1/2*BC*AB

Depending on the lengths of base and height amount of sand will be decided.

Now,

<em>For Rectangle dimensions,</em>

<em>We know that if same sized triangles composes each other forms a rectangle</em>.

It requires two triangle to form one rectangle as follows

(Refer the attachment)

Same sized Triangle ACD is imposed on it  to from rectangle ABCD.

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i.e. length=base of triangle=BC

Breadth=Height of triangle=AB

i.e Breadth =AB.

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3 years ago
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