12E
30. a) The sum of the areas of two squares is 274 sq.m. If the difference of
their perimeters is 32 m, find the sides of the two squares.
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let the side of one square = x m
perimeter of the square is =4x m
given that perimeters are differ by 32 m
means another square perimeter is 4x-32m.
the side of the second square =4x-32/4
=4(x-8)/4
=x-8 m
sum of there areas are 274 m2
area of square is s^2
then,
(x)^2+(x-8)^2=274
x^2+x^2-16x+64=274
2x^2-16x-274+64=0
2x^2-16x-210=0
x^2-8x-105=0
x^2-15x+7x-105=0
x(x-15)+7(x-15)=0
(x+7)(x-15)=0
x= -7 or 15(discard -7)
another square side=(x-8)m
=(15-8)m
=7m
hope this AP maths pre final question answer helps you.if you want ask any question on maths paper 2 ask I will answer it.
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