Answer:
1) A. Area of triangle
= b x h / 2
= 13.5 m x 9 m / 2
= 121.5 m² / 2
= 60.75 m²
B. Area of rectangle
= l x w
= 18 m x 13.5 m
= 243 m²
Area of the figure
= area of the triangle + area of the rectangle
= 60.75 m² + 243 m²
= 303.75
2) A. Area of triangle
= b x h / 2
= 4 m x 4 m / 2
= 16 m² / 2
= 8 m²
B. Area of trapezoid
= base 1 + base 2 / 2
= 4 m + 4 m / 2
= 8 m² / 2
= 2 m²
Figure of the Area
= Area of the triangle + area of the trapezoid
= 8 m² + 2 m²
= 10 m²
3). A. Area of square
= l x w
= 6 cm x 6 cm
= 36 cm²
B. Area of triangle
= b x h / 2
=6 cm x 3 cm / 2
= 18 cm² / 2
= 9 cm²
Figure of the Area
= Area of the square + Area of the triangle
= 36 cm² + 9 cm²
= 45 cm²
4) Area of trapezoid
= Base 1 + base 2 x height / 2
= 15 cm + 18 cm x 18 cm ÷ 2
= 33 cm² x 18 cm ÷ 2
= 594 cm² ÷ 2
= 297 cm²
5) A. Area of square
= l x w
= 42 cm x 42
= 1764 cm²
B. Area of rectangle
= L x w
= 42 cm x 70 cm
= 2940 cm²
Figure of the Area
= Area of the square + Area of the rectangle
= 1764 cm² + 2940 cm²
= 4704 cm²
