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slava [35]
3 years ago
11

a sewing club is making a quilt consisting of 25 squares with each side measuring 30cm.if the quilt has 5 rows and 5 columns .de

termine the perimeter of the quilt and calculate the total area of the quilt?
Mathematics
1 answer:
LenKa [72]3 years ago
3 0
To find the length of the sides of the quilt multiply the length of each square by how many squares make up that side
30 cm · 5 squares = 150 cm  (this is for both length and width because this quilt is a square)
For a square, perimeter=4·side, or all sides added together
p=4·150cm
p=600cm
Area of a square is length · width
A=150 cm·150 cm
A=22,500 cm²
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<u><em>Step(i):-</em></u>

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    ⇒        x^{2} + 2 X \frac{5}{2} x + (\frac{5}{2} )^{2} -  (\frac{5}{2} )^{2}+ 8 = 4

<u><em>Step(ii):</em></u>-

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  ⇒        (x +  \frac{5}{2})^{2}   = 4 + (\frac{5}{2} )^{2} -8

⇒           (x +  \frac{5}{2})^{2}   =  (\frac{25}{4} ) -4

⇒           (x +  \frac{5}{2})^{2}   =  (\frac{25-16}{4} )

⇒           (x +  \frac{5}{2})^{2}   =  \frac{9}{4}

<u><em>Final answer:-</em></u>

(x +  \frac{5}{2})^{2}   =  \frac{9}{4}

 

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