Question

1. complete the equation and find the area of the rectangle.

a = l × w

a =

the area is sq m.

1. write an equation and find the unknown side length.

the area is 280 sq cm.

equation:

n =

the unknown side length is cm.

Explanation:

Step1: Calculate the area of the first rectangle

Given the formula for the area of a rectangle \(A = l\times w\), where \(l = 60\space m\) and \(w=3\space m\).
Substitute the values into the formula: \(A = 60\times3\).

$$A=180$$

Step2: Find the unknown side length of the second rectangle

The area formula for a rectangle is \(A = l\times w\). Here, \(A = 280\space cm^{2}\), \(w = 7\space cm\), and \(l=n\).
The equation is \(280=7\times n\).
To solve for \(n\), use the formula \(n=\frac{A}{w}\). Substitute \(A = 280\) and \(w = 7\): \(n=\frac{280}{7}\).

$$n = 40$$

Answer:

1. \(A = 60\times3\); The area is \(180\) sq m.
2. Equation: \(280 = 7\times n\); \(n = 40\); The unknown side length is \(40\) cm.