Question

what are the possible dimensions of a rectangle with an area of 40 square units? choose three correct answers. base: 4 units height: 10 units base: 8 units height: 5 units base: 4 units height: 8 units base: 8 units height: 6 units base: 2 units height: 40 units base: 20 units height: 2 units

Explanation:

Step1: Recall the formula for the area of a rectangle

The area \(A\) of a rectangle is given by \(A=\text{base}\times\text{height}\), i.e., \(A = b\times h\).

Step2: Calculate the area for each option

• Option 1 (Base = 4 units, Height = 10 units):

Using the formula \(A=b\times h\), we substitute \(b = 4\) and \(h=10\). Then \(A=4\times10=40\) square units.

• Option 2 (Base = 8 units, Height = 5 units):

Substitute \(b = 8\) and \(h = 5\) into the formula \(A=b\times h\). So \(A=8\times5=40\) square units.

• Option 3 (Base = 4 units, Height = 8 units):

Substitute \(b = 4\) and \(h = 8\) into the formula. Then \(A=4\times8 = 32\) square units.

• Option 4 (Base = 8 units, Height = 6 units):

Substitute \(b = 8\) and \(h = 6\) into the formula. So \(A=8\times6=48\) square units.

• Option 5 (Base = 2 units, Height = 40 units):

Substitute \(b = 2\) and \(h = 40\) into the formula. Then \(A=2\times40 = 80\) square units.

• Option 6 (Base = 20 units, Height = 2 units):

Substitute \(b = 20\) and \(h = 2\) into the formula. So \(A=20\times2=40\) square units.

Answer:

Base: 4 units, Height: 10 units; Base: 8 units, Height: 5 units; Base: 20 units, Height: 2 units.