Question

find the area of the shape. (sides meet at right angles.)

Explanation:

Step1: Divide the shape into rectangles

Divide the given shape into three rectangles.

Step2: Calculate the area of each rectangle

• For the first rectangle (left - most):

The dimensions are \(3\times2\). Using the formula for the area of a rectangle \(A = l\times w\), we have \(A_1=3\times2 = 6\) square meters.

• For the second rectangle (middle):

The width is \(6-(3 + 1)=2\) meters and the length is \(2 + 2=4\) meters. Using \(A = l\times w\), we get \(A_2=2\times4 = 8\) square meters.

• For the third rectangle (right - most):

The dimensions are \(6\times2\). Using \(A = l\times w\), we have \(A_3=6\times2=12\) square meters.

Step3: Sum up the areas of the rectangles

The total area \(A = A_1+A_2+A_3\). Substitute the values: \(A=6 + 8+12\).

Answer:

\(26\)