Question

Help me please and thank you

Answer 1

Area of the shape = 26.75 units²

Solution:

Base of the small triangle = 2 units

Height of the small triangle = 2 units

Area of the small triangle = $\frac{1}{2}bh$

                                          $=\frac{1}{2}\times2\times2$

Area of the small triangle = 2 units²

Base of the medium triangle = 5 units

Height of the medium triangle = 2 units

Area of the medium triangle = $\frac{1}{2}bh$

                                          $=\frac{1}{2}\times5\times2$

Area of the medium triangle = 5 units²

Side length of the square = 2 units

Area of the square = side × side

                                = 2 × 2

Area of the square = 4 units²

Base of the large triangle = 2 + 2 + 5 = 9 units

Height of the large triangle = 3.5 units

Area of the large triangle =  $\frac{1}{2}bh$

                                          $=\frac{1}{2}\times9\times3.5$

Area of the large triangle = 15.75 units²

Area of the shape = Area of the small triangle + Area of medium triangle

                                 + Area of square + Area of large triangle

                              = 2 units² + 5 units² + 4 units² + 15.75 units²

                              = 26.75 units²

Area of the shape = 26.75 units²