find the area of this irregular shape. a = ? m² find the area of rectangle 1.
find the area of this irregular shape. a = ? m² find the area of rectangle 1.
Answer
Explanation:
Step1: Divide the shape into rectangles
The irregular - shaped figure can be divided into two rectangles. One rectangle has dimensions 4m by 6m and the other has dimensions 4m by (4 + 4)m.
Step2: Calculate the area of the first rectangle
The area formula for a rectangle is $A = l\times w$. For the first rectangle with length $l = 6m$ and width $w = 4m$, the area $A_1=6\times4 = 24m^{2}$.
Step3: Calculate the area of the second rectangle
The second rectangle has length $l = 4m$ and width $w=(4 + 4)m = 8m$. The area $A_2=4\times8 = 32m^{2}$.
Step4: Calculate the total area
The total area $A$ of the irregular - shaped figure is the sum of the areas of the two rectangles, $A=A_1 + A_2$. So $A=24+32=56m^{2}$.
Answer:
$56$