Question

Meredith drew the shape shown below. A rectangle placed horizontally atop another vertically placed one. The dimensions of the rectangle on top are twelve feet by seven feet. The dimensions of the rectangle at the bottom are twelve feet by six feet. Find the area of the shape. Use the drop-down menus to explain your answer. The area is Choose... square feet. You can subtract the area of two 3 × Choose... rectangular corners from the large 12 × Choose... rectangle around the polygon.

Answer 1

Answer:

$Area= 156ft^2$

Step-by-step explanation:

Given

Two Rectangles;

$Rectangle_1 = 12ft\ by\ 7ft$

$Rectangle_2 = 12ft\ by\ 6ft$

Required

Determine the area of the shape

The area of the shape would be;

$Area = Area\ of\ Rectangle\ 1 + Area\ of\ Rectangle\ 2$

Area of rectangle is calculated as:

$Area = Length * Width$

For the first rectangle:

$Area = 12ft * 7ft$

$Area = 84ft^2$

For the second:

$Area = 12ft * 6ft$

$Area = 72ft^2$

So:

Area of the shape is

$Area= 84ft^2 + 72ft^2$

$Area= 156ft^2$