Question

Can you please help me solve questions 1 and 2

Answer 1

Answer:

see explanation

Step-by-step explanation:

(1)

Given the perimeter then the third side is the perimeter subtract the sum of the 2 given sides, that is

third side

= 4x + 3y - (x - y + x + y)

= 4x + 3y - 2x ← collect like terms

= 2x + 3y

(2)

The area (A) of a triangle is calculated as

A = $\frac{1}{2}$ bh ( b is the base and h the height )

Here b = 2x + 6 and h = x - 2, thus

A = $\frac{1}{2}$(2x + 6)(x - 2) ← expand factors using FOIL

   = $\frac{1}{2}$(2x² + 2x - 12) ← distribute

   = x² + x - 6 ← in standard form