189k views
6 votes
Find the area of the quadrilateral.​​

Find the area of the quadrilateral.​​-example-1

1 Answer

2 votes

Explanation:

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

we have 2 major triangles that define this quadrilateral :

A-D-B and C-D-B.

both triangles have the same baseline : M_D + M_B = 14 cm

what we need to do is get the 2 heights M_C and N_A.

N_A we know already : 8 cm

so,

area A-D-B = 14×8/2 = 14×4 = 56 cm²

M_C we get via Pythagoras of the right-angled triangle D-M-C :

D_C² = M_C² + M_D²

10² = M_C² + 6²

100 = M_C² + 36

64 = M_C²

M_C = 8 cm

so,

area C-D-B = 14×8/2 = 56 cm²

so, the total area of the quadrilateral is

56 + 56 = 112 cm²

User Farooque
by
8.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories