Question

1. use the formula for the area of a rectangle to write an equation for the area of the three combined rectangles in terms of 25 and 11

width = 25 - 11 units
(type whole numbers )
area = (25 + 11)(25 + 11) = square units
(type an integer or a decimal.)

Explanation:

Step1: Calculate the sum inside the parentheses

First, calculate \(25 + 11\).
\(25+11 = 36\)

Step2: Multiply the two results

Since the area formula is \((25 + 11)(25 + 11)\), and we know \(25 + 11=36\), then we calculate \(36\times36\).
\(36\times36=(30 + 6)\times(30 + 6)=30\times30+2\times30\times6 + 6\times6=900+360 + 36=1296\)

Answer:

\(1296\)