Question

what is the area of this figure? 10 cm 4 cm 8 cm 4 cm 6 cm 3 cm 5 cm 14 cm square centimeters

Explanation:

Step1: Calculate area of triangle

$A_1=\frac{1}{2}\times(4 + 8+4+14)\times10=\frac{1}{2}\times30\times10 = 150$

Step2: Calculate area of small rectangle

$A_2=4\times8 = 32$

Step3: Calculate area of medium - rectangle

$A_3=4\times6=24$

Step4: Calculate area of large rectangle

$A_4=3\times14 = 42$

Step5: Calculate total area

$A = A_1+A_2+A_3+A_4-(4\times8)-(4\times6)=150+32 + 24+42-32 - 24=155$

Answer:

155