Question

Find the area of each figure

Answer 1

Answer:

92

Step-by-step explanation:

this figure can be "split" into 3 sub-figures.

one rectangle in the middle, one triangle to the right, and one triangle on top.

these areas we can calculate very easily. and then we simply sum up all 3 of them and we have the answer.

it is clear, the area of a rectangle is length×width.

and the area of triangle is baseline×height/2.

where in a right-angled triangle one of the sides next to the 90 degree angle is the baseline and the other is the height.

the rectangle

R = 10×6 = 60

the triangle to the right

T1 = (14-10)×6/2 = 12

the triangle on the top

T2 = 10×(10-6)/2 = 20

so, the total area is

60+12+20 = 92

Answer 2

The area of the given figure is 92.

This figure contained 3 sub-figures.

One rectangle in the middle, one triangle to the right, and one triangle on top.

The area of these areas we can calculate very easily. and then we ad  all 3 of them and we have the answer.

What is the area of a rectangle?

The area of a rectangle is,

$A=length\times width.$

What is the area of triangle?

The area of triangle is

$A^*= \frac{1}{2} \times base\times height$

Where in a right-angled triangle one of the sides next to the 90 degree angle is the baseline and the other is the height.

The area of  rectangle

$R =l\times w \\R=10\times 6 \\R= 60$

The triangle to the right

$T_1 = (14-10)\times 6/2 = 12$

The triangle on the top

$T_2 = 10\times (10-6)/2 = 20$

Therefore, the total area is,

60+12+20 = 92

Therefore the area of the given figure is 92.

To learn more about the area visit:

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