Question

The shape shown is made from a triangle and a rectangle.

a) Work out the area of the rectangle
B) Work out the area of the triangle
c) Work out the area of the whole shape

Answer 1

Hey !

a) Work out the area of the rectangle

Area of the rectangle is calculated by Length × width

According to the given diagram

Length of the rectangle = 10 cm

width of the rectangle = 5 cm.

Substituting the values of length and width in above formula.

Area = 10 × 5

Area = 50 cm².

B) Work out the area of the triangle.

Area of triangle is calculated by:

Area of triangle = ½ × Base × Height

According to the given figure,

Base of triangle = 4 cm

Height of triangle= 5 cm

Substituting the values we base and Height in the above formula we get

Area of triangle = ½ × 4 × 5

Area of triangle = 2 × 5

Area of triangle = 10 cm²

c) Work out the area of the whole shape

Area of whole shape = Area of rectangle+ Area of triangle

= 50 cm² + 10 cm²

= 60 cm²

Answer 2

a) 70 cm²

b) 10 cm²

c) 80 cm²

Explanation:

The shape which is made from a triangle and a rectangle.

a) The area of the rectangle.

Formula :

Area of rectangle = Length × Breadth

Here,

From the given figure we can see that Length of rectangle is 10 cm and breadth of the rectangle is 7 cm

Plugging the values in formula ,

Area = 10 × 7

Area = 70 cm²

`\therefore \underline{\red{ \sf The \: area \: of \: rectangle \: is \: 70 \: {cm}^(2)}}`

b) The area of triangle

Formula :

Area of triangle = 1/2bh

Here,

Form the given figure we can see that base of 4 cm and height is 5 cm

Plugging the values in formula ,

Area = 1/2 × 4 × 5

Area = 10 cm².

`\therefore \underline{\red {\sf The \: area \: of \: triangle \: is \: 10 \: {cm}^(2)}}.`

c) the area of the whole shape

Since The shape is made from a triangle and a rectangle so the area of whole shape will be the sum of both the areas of rectangle and triangle.

Area of the whole shape = Area of rectangle + area of triangle

Area of whole shape = 70 + 10

Area of whole shape = 80 cm²

`\therefore \underline{\red { \sf The \: area \: of \: whole \: shape \: is \: 80 \: {cm}^(2)}}`