A rectangular picture is 4 cm longer than it is wide. It is surrounded by a mat that is 2 cm wide. The combined area of the picture and the mat is 140 cm2. Find the dimensions of the picture.
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Answer:
Step-by-step explanation:
area = length * width
for the picture, l = w + 4
the mat extends 2 cm beyond the picture, therefore the combined area is given by this equation:
(w+6)(w+2)=140
when you simplify it you get:
w^2 + 8w -128 = 0
when you solve the above equation "w" gives the positive answer as 8.
THEREFORE , THE PICTURE IS 8 CM WIDE AND (8+4)=12 CM IN LENGTH.
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