Answer:
The area of the figure is 97 square inches
Explanation:
In the given figure
To find the area of the figure we can find the area of the big rectangle with dimensions 7 inches and 19 inches and subtract from it the area of the small rectangle with dimensions 4 inches and 9 inches
∵ The area o the rectangle = length × width
∵ The dimensions of the big rectangle are 7 inches and 19 inches
∴ The width = 7 inches
∴ The length = 19 inches
→ Substitute them in the rule of the area above
∵ The area of the big rectangle = 19 × 7
∴ The area of the big rectangle = 133 inches²
∵ The dimensions of the small rectangle are 4 inches and 9 inches
∴ The width = 4 inches
∴ The length = 9 inches
→ Substitute them in the rule of the area above
∵ The area of the small rectangle = 9 × 4
∴ The area of the small rectangle = 36 inches²
→ Subtract the area of the small rectangle from the area of the big
rectangle to get the area of the green figure
∵ The area of the figure = the big area - the small area
∴ The area of the figure = 133 - 36
∴ The area of the figure = 97 inches²
∴ The area of the figure is 97 square inches