Question

The dimensions of a rectangular field are 19x - 26 and 10x + 28 units. Find the value of x for which it would
be square.​

Answer 1

Question:

The dimensions of a rectangular field are (19x - 26) and (10x + 28) units. Find the value of x for which it would  be square.​

Solution:

Dimensions of the field = (19x - 26) and (10x + 28)

For being a square, the dimensions should be equal.

i.e (19x - 26) = (10x + 28)

or, 19x - 10x = 28 + 26

or, 9x = 54

or, x = 54/9

or, x = 6.

Hence, value of x should be 6.

Checking the dimensions whether they are equal or not:

(19x - 26) or (10x + 28)

= (19 * 6 - 26)  or (10 *6 + 28)

= (114 - 26) or (60 + 28)

= 88 or 88

Hence, our answer is correct.