91Ó°ÊÓ

Rectangle is a quadrilateral. Opposite sides are equal and parallel. Measurement of all four angles is${\text{90}}^0$.

Area of rectangle is $\text{length}  ·  \text{height}$square unit.

Suppose a, b, and c is three real numbers.

Distributive Property of Multiplication

Property: $\text{a}  \text{(b}  \text{+}  \text{c}  \text{)}  =  \text{a}  ·  \text{b}  +  \text{a}  ·  \text{c}  $

Example: $\text{12}  \text{(3}  \text{+}  \text{4}  \text{)}  =  \text{12}  ·  \text{3}  +  \text{12}  ·  \text{4}  =  36  +  48  =  84$

In this figure the length is (4y + 8) and height = 5

We know that area of Rectangle =$\text{length}  ·  \text{height}$

Find the area, using the distributive method of multiplication.

Property: $\text{a}  \text{(b}  \text{+}  \text{c}  \text{)}  =  \text{a}  ·  \text{b}  +  \text{a}  ·  \text{c}  $

Area =$\text{length}  ·  \text{height}  =  (4y+8)  ·  5  =  4y  ·  5  +  8  ·  5  =20y  +  40$

Area of the Rectangle is $20y  +  40$.

Correct Option is I.