Question

Part of a new painted mural at early Middle School will include a large letter E in the center to represent the name of the school. The letter with its measurements is shown below

What is the area, in square inches, of the large letter E for the mural?
A. 64.5in.sq
B. 77.5in.sq
C. 32.3 in.sq
D. 129 in.sq

Answer 1

Answer: A. 64.5 in. sq

Explanation:

For finding the area we can split the E into rectangles and square. ( Shown below )

Hence, by the below diagram,

The area of the given figure = Area of rectangle having dimension 2.5 in × 13 in + 2× (Area of the rectangles having dimension 4 in × 3.5 in ) + Area of a square having side length 2 in,

= 2.5 × 13 + 2( 4 × 3.5 ) + 2 × 2

= 32.5 + 2( 14 ) + 4

= 36.5 + 28

= 64.5 square inches

Hence, the complete area of the given figure is 64.5 square inches.

⇒ Option A is correct.