BMAT 2019 Section 2 Question 16

One side of a rectangle is − cm.
The rectangle has an area of 66 cm2
.
What is the perimeter, in cm, of the rectangle?

Answer:

Area of a rectangle = length x width
We can assume (7 – √5) cm can either be length or width, it does not matter.
Let us say it is the length. Let the width be W.

Area of this rectangle (66) = (7 – √5) x W
W = 66 ÷ (7 – √5)

Now we just use the formula for perimeter of rectangle. P = 2 (l + w)

By doing the addition inside the brackets, we get:

The two 2’s cancel out to give P = 35 + √5

Sami Qamar

I’m Sami Qamar. I’m a YouTuber, Blogger, and first year med student.

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