Question

find thr area of following polygons​

Answer 1

Answer:

ar(ABCDEFG) = 450 cm²

Step-by-step explanation:

We must find,

Area of ABCDEFG.

Now,

ar(ABCDEFG) = ar(ABG) + ar(BCFG) + ar(CDEF)

So,

ABG is a Triangle with height 6 cm and base 16 cm.

ar(ABG) = (1/2)bh

ar(ABG) = (1/2) × 6 × 16

ar(ABG) = 6 × 8

ar(ABG) = 48 cm²

also,

BCFG is a rectangle,

ar(BCFG) = L × B

ar(BCFG) = 22 × 16

ar(BCFG) = 352 cm²

CDEF is a trapezium of height 5 cm and have bases 16 cm and 4 cm.

ar(CDEF) = (1/2)(a + b)h

ar(CDEF) = (1/2)(4 + 16)5

ar(CDEF) = (1/2) × 20 × 5

ar(CDEF) = 10 × 5

ar(CDEF) = 50 cm²

Thus,

ar(ABCDEFG) = 48 + 50 + 352

ar(ABCDEFG) = 450 cm²

Hope it helped and believing you understood it........All the best