3 years ago

Can you please help me solve questions 1 and 2

Mathematics

1 answer:

Katyanochek1 [597]3 years ago

7 0

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

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