Question

16. If one side of a square is represented by 4x - 7 and
the adjacent side is represented by 3x + 5, find the
value of x.

​

Answer 1

all sides are equal in square

then

4x-7 = 3x+5

4x-3x = 5+7

x = 12

Answer 2

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x = 12

step-by-step explanation:

Let the square be ABCD

Given that,

One side of square = 4x -7

let,

AB = 4x - 7

Now,

also,

adjacent side = 3x +5

.°. BC = 3x + 5

But,

we know that,

sides of a square are equal

=> AB = BC

=> 4 x -7 = 3x +5

=> 4x - 3x = 5+ 7

=> x = 12

.°. side of Square = 3×12 + 5 = 41 units