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anzhelika [568]
3 years ago
9

The area of four walls of a rectangular room is 96m2 and its height is 4m.

Mathematics
1 answer:
Delicious77 [7]3 years ago
7 0

Answer:

<h2>The answer is 56 m</h2>

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

To find the area we must first find the length of the rectangle using it's area.

That's

Area = length × height

From the question

Area = 96 m²

height = 4 m

So we have

96 = 4l

Divide both sides by 4

length = 24 m

Now we have

Perimeter = 2(24) + 2(4)

= 48 + 8

We have the final answer as

<h3>56m</h3>

Hope this helps you

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BC and DF are parallel lines. B is a point on AD and E is a point of DF. BD=BE. work out angle DBE give a reason. ITS ON MATHSWA
zloy xaker [14]

Answer:

(Angle DBE) ∠DBE = 50°

Step-by-step explanation:

It is crucial for us to be able to interpret plane geometry related question in order to solve them efficiently.

From the question given; we have analysed and come up with a diagrammatic expression and mathematical solution that clearly explains the question .

Given that

BC and DF are parallel lines.

B is a point on AD  

B is a point on AD

BD=BE

work out angle DBE and give a reason.

The diagram can be seen in the attached image below.

SInce ∠BD = ∠DE

Then triangle BDE is an isosceles triangle. In an isosceles triangle ; two sides are equal in length.

The sum of angles in an isosceles triangle = 180° (sum of angles in a triangle)

So;

∠BDE + ∠BED + ∠DBE = 180° (sum of angles in a triangle)

From the diagram; we will see that ∠ABC = ∠BDE  (corresponding angle)

Since ; ∠ABC is not given and which is needed to solve this question.

Let's just assume that ∠ABC is 65° , the main thing is to be able to interpret and understand the concept of the question.

Now;

Since

∠ABC = ∠BDE  

∠ABC  = 65°

∠BDE  = 65°

Again;

∠BDE + ∠BED + ∠DBE = 180° (sum of angles in a triangle)

∠BDE will be aso equal to  ∠BED ; this is because since the length of the opposite sides of the isosceles triangle are equal, their angles will also be equal.

Therefore;

65° + 65° + ∠DBE = 180° (sum of angles in a triangle)

130 ° + ∠DBE = 180° (sum of angles in a triangle)

∠DBE = 180° - 130°

∠DBE = 50°

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3 years ago
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