Question

find the area of a square whose side is a 44 m​

Answer 1

Answer

may be 1936

Step-by-step explanation:

may this answer be helpful

but do not know properly

Answer 2

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Let the width of the gravel path be xmetres. Then, Each side of the square flower bed is (44−2x) metres

Now, Area of the square field 44×44=1936m2

Area of the flower bed =(44−2x)2m2

Area of the gravel path= Area of the field -  Area of the flower bed

=1936−(44−2x)2=1936−(1936−176x+4x2)=(176−4x2)m2

Cost of laying the flower bed=Area of the flower bed × Rate per sq.m

=(44−2x)2×100275=411(44−2x)2=11(22−x)2

Cost of gravelling the path = Area of the path × Rate per sq. m

=(176x−4x2)100150=6(44−x2)

It is given that the total cost of laying the flower bed and gravelling the path is Rs. 4904

∴11(22−x)2+6(44x−x2)=4904

⇒5x2−220x+5324=4908

⇒5x2−220x+420=0⇒x2−44x+84=0⇒x2−42x−2x+84=0

⇒(x−2)(x−42)=0⇒x=2orx=42

But x=42 as the side of the square is 44m. therefore, x=2

Hence the width of the gravel path is 2metres

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