Maths-

General

Easy

Question

# The measurements in the given figure are in cm. What is its area?

Hint:

### i. Area of a rectangle = length × breadth

ii. Opposite sides of a rectangle are of equal measure.

## The correct answer is: Final Answer:- ∴ Area of the given figure is 210 cm2.

### Step-by-step solution:-

The given figure is that of a rectangle with-

length = 6x + 9 ............................................................... (Equation i)

breadth = 2 (x + 3) & x + 8 ............................................... (Equation ii)

We know that opposite sides of a rectangle are equal

∴ breadth = 2 (x + 3) = x + 8

∴ 2 (x + 3) = x + 8

∴ 2x + 6 = x + 8

∴ 2x - x = 8 - 6

∴ x = 2 .................................................................. (Equation iii)

Substituting Equation iii in Equations i & ii, we get-

length = 6x + 9 = 6 (2) + 9 = 12 + 9 = 21 cm ......................... (Equation iv)

breadth = 2 (x + 3) = 2 (2 + 3) = 2 (5) = 10 cm ....................... (Equation v)

Area of the given rectangle = length × breadth

∴ Area of the given rectangle = 21 × 10 ............................ (From Equations iv & v)

∴ Area of the given rectangle = 210 cm2

Final Answer:-

∴ Area of the given figure is 210 cm2.

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