Question

Please help with this area question. I have gotten my answer but I am not too sure about it, and want to make sure my reasoning is correct. Thank you!

Answer 1

D

Explanation:

Area of triangle= ½ ×base ×height

Since the length of the base and the height of the triangle is equivalent to the length of a side of the square, s,

area of triangle

= ½ ×s ×s

= ½s²

Given that the area of the triangle is 12.5 units²,

½s²= 12.5

Multiply both sides by 2:

s²= 12.5(2)

s²= 25

Square root both sides:

`s = √(25)`

s= 5 units

(reject negative value since s > 0)