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The length of a rectangle plus its width is 32
cm. The area is 112 square cm. What are the
length and width of the rectangle?
Separate the answers with a comma.


Sagot :

Answer:

l = 28 cm and b = 4 cm

Step-by-step explanation:

Let the length be l and the breadth be b.

ATQ,

l+b = 32

l=32-b ....(1)

Area of rectangle, A = 112 cm²

We need to find the length and width of the rectangle

The formula for the area of a rectangle is given by :

lb = 112 ...(2)

From equation (1) and (2).

(32-b)b = 112

From above equation, b = 4 cm

Put the value of b in equation (1)

l=32-4

= 28 cm

Hence, the length and width of the rectangle is 28 cm and 4 cm.