Find the area of the figure. (Sides meet at right angles.)
5 cm
4 cm
A cm
5 cm
5 cm
4 cm
4 cm
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Answer:
Step-by-step explanation:
to get the area of the given figure,
we need to split it in to two (see attached)
then area of a rectangle = length x width
A1 = 15 cm x 4 cm = 60 cm²
A2 = 5 cm x 4 cm = 20 cm²
Area = A1 + A2
= 60 + 20
= 80 cm²
Area in this figure will be 80cm².
The area of the rectangle can be calculated by the product of length and breadth of the rectangle.
A=l*b
where l is length and b is the breadth.
So according to asked question in the drawn figure,
connect the point B and G.
now this figure will give two rectangle i.e. ABGH and CDEF
Rectangle ABGH has length l=5cm
breadth b=4cm
area of the rectangle ABGH= length * breadth=l*b=5*4=20cm²
Now CF=CB+BG+GF=5+5+5=15
Rectangle CDEF has length l=CF=15cm
breadth b=4cm
area of the rectangle ABGH= length * breadth=l*b=15*4=60cm²
Area of the figure= area of the rectangle ABGH+area of the rectangle CDEF
=20cm²+60cm²
=80cm²
Therefore area in this figure will be 80cm².
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