Question

Tonda is making an art project. The shape of her project is shown below. Find the area of the shape. (Hint... Remember to decompose the shape into a triangle and a rectangle.)

a) Area = 32 mm²
b) Area = 22 mm²
c) Area = 47 mm²
d) Area = 54 mm²

Answer 1

To find the area of the shape, decompose it into a triangle and a rectangle. Calculate the area of each shape using their respective formulas (area of rectangle = length x width, area of triangle = 1/2 x base x height). Add the areas of the triangle and rectangle together to obtain the total area of the shape.

Step-by-step explanation:

To find the area of the shape, we need to decompose it into a triangle and a rectangle.

The area of a rectangle is found by multiplying its length and width, while the area of a triangle is found using the formula 1/2 x base x height.

In this case, the rectangle has a length of 8 mm and a width of 4 mm, so its area is 8 mm x 4 mm

= 32 mm².

The triangle has a base of 8 mm and a height of 2 mm, so its area is 1/2 x 8 mm x 2 mm = 8 mm².

Adding the areas of the rectangle and the triangle together, we get a total area of 32 mm² + 8 mm² = 40 mm². Therefore, none of the given options (a, b, c, d) are correct.