Question

if the side of a square is x+5/4 m, what is its area​

Answer 1

Answer:

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Answer 2

GIven:

$\text{Side of a square }= x + \dfrac{5}{4} \text{ m}$

Find:

Area

Answer:

Apply the area formula:

Area of a square = Length x Length

$\text{Area = } ( x + \dfrac{5}{4})( x + \dfrac{5}{4})$

$\text{Area = } \bigg( x + \dfrac{5}{4} \bigg)^{2}$

Applying the formula (a + b)² = a² + 2ab + b²:

$\text{Answer: Area = } \bigg (x + \dfrac{5}{4}\bigg)^2\\\\\text{Area = } \bigg(x\bigg) ^2 + 2\bigg(x\bigg)\bigg(\dfrac{5}{4}\bigg) + \bigg(\dfrac{5}{4}\bigg)^2\\\\\text{Area = } x^2 + \dfrac{5}{2}x + \dfrac{25}{16}$

$\text{The area is } (x^2 + \frac{5}{2} x + \frac{25}{16})\text{ m}^2$