A wire is in the shape of a square of side 28 m. If the same wire is bent in the shape of a rectangle whose breadth and length are in a ratio of 3:4. What will be dimensions of rectangle
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Answer:
Length= 40cm
Breadth= 22cm
Perimeter of the rectangle= Length of the wire
=2(l+b)= 2(40cm + 22cm)
=2\times622×62cm = 124cm
Now, the wire is rebent into a square.
Perimeter= 124cm
4\times side=1244×side=124
Therefore side= \frac{124}{4}
4
124
cm= 31cm
So, the measure of each side= 31cm
Area of rectangular shape= l\times bl×b
=40cm\times22cm40cm×22cm
=880cm^2880cm
2
Area of a square shape= \left(Side\right)^2(Side)
2
=\left(31\right)^2=961cm^2(31)
2
=961cm
2
Since 961cm^2\ >\ 880cm^2961cm
2
> 880cm
2
Hence, the square encloses more area
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