Question

PLEASE HELP!!! ASAP!!!

Answer 1

Answer:

$\huge\boxed{28\ units^2}$

Step-by-step explanation:

The figure consists of a triangle, a square and a rectangle.

Area of Triangle:

$\sf \frac{1}{2} (Base)(Height)\\Where \ Base = 2 , Height = 4 \\=> \frac{1}{2} (2)(4)\\=> 4\ units^2$

Area of Square:

$\sf (Length)(Length)\\(4)(4)\\=> 16\ units^2$

Area of rectangle:

$\sf (Length)(Width)\\Where \ Length = 4 , Width = 2\\=> (4)(2)\\=> 8 \ units^2$

Area of the whole figure:

=> 4 + 16 + 8

=> 28 units²

Answer 2

Answer:

28 units²

Step-by-step explanation:

→ Work out the size of the triangle if it was a full rectangle

Height = 4 and Base = 2

→ Work out area of triangle

0.5 × Height × Base ⇒ 0.5 × 4 × 2 ⇒ 2 × 2 ⇒ 4

→ Minus the area of the triangle from the "imaginary full' rectangle

Area of rectangle = Length × Width ⇒ 8 × 4 ⇒ 32

32 - 4 = 28