A sheet of paper
the area
pet of paper measures 30 cm by 20 cm. A strip 4 cm wide is cut from it all around. Find
ea of the remaining sheet and also the area of the strip cut-out.
Answers
Area left = 264 cm²
Area cut out = 336 cm²
Step-by-step explanation:
plz refer diagram attached simultaneously
LET THE PAPER initially be in the shape of ABCD
with AB = 30 , BC = 20
now the 4 cm wide strip is taken away (shown by green colour )
the green colour part is taken away and we are left with EFGH
total initial area ABCD = 30*20
= 600 cm²
the length of EF and FG can be found as 4 cm is taken away from both side the length decreases by 8 cm
EF = AB-8 FG = BC-8
= 30-8 = 20-8
= 22 cm = 12 cm
Area of left EFGH = 22*12
= 264 cm²
AREA total = area left + area cut out
area cut out = AREA total - area left
= 600 - 264
= 336 cm²