Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

tomas is making shapes out of paper for a geometry project. how many sq…

Question

tomas is making shapes out of paper for a geometry project. how many square centimeters of fabric will tomas need to make the paper shape below?
solve on paper if you need to. then, enter your answer on zearn.
tomas will need □ square centimeters of fabric to make the paper shape.

Explanation:

Step1: Calculate the area of the lower rectangle

The formula for the area of a rectangle is \(A = length\times width\). For the lower rectangle, the length is \(9\) cm and the width is \(2\) cm. So the area \(A_1=9\times2 = 18\) \(cm^{2}\).

Step2: Calculate the area of the upper rectangle

The height of the upper rectangle is \(11 - 2=9\) cm and the width is \(5\) cm. Using the area formula \(A = length\times width\), we get \(A_2 = 5\times9=45\) \(cm^{2}\).

Step3: Sum up the areas

The total area \(A=A_1 + A_2\). Substitute \(A_1 = 18\) and \(A_2=45\) into the equation: \(A=18 + 45=63\) \(cm^{2}\).

Answer:

\(63\)