Question

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.

Answer 1

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.