Question

directions: study the information and figure, read each question, and choose the best answer.
a kindergarten student designs the following shape using blocks on the carpet floor.

1. what is the area of the triangular portion of the figure?

a. 12.5 m²
b. 25 m²
c. 50 m²
d. 59.63 m²

1. if the width of the rectangle is 5 m, what is the total area of the figure above?

a. 5 m²
b. 12.5 m²
c. 50 m²
d. 62.5 m²

Explanation:

Question 3

Step1: Recall the formula for the area of a triangle

The formula for the area of a triangle is \(A=\frac{1}{2}bh\), where \(b\) is the base and \(h\) is the height.

Step2: Identify the base and height

From the figure, the base \(b = 5m\) and the height \(h=5m\).

Step3: Substitute values into the formula

Substitute \(b = 5\) and \(h = 5\) into \(A=\frac{1}{2}bh\). So, \(A=\frac{1}{2}\times5\times5=\frac{25}{2}=12.5m^{2}\)

Step1: Find the area of the rectangle

The formula for the area of a rectangle is \(A = lw\). Given \(l = 10m\) and \(w = 5m\), then \(A_{rectangle}=10\times5 = 50m^{2}\)

Step2: Recall the area of the triangle

From question 3, the area of the triangle \(A_{triangle}=12.5m^{2}\)

Step3: Calculate the total area

The total area \(A_{total}=A_{rectangle}+A_{triangle}\). Substitute \(A_{rectangle}=50\) and \(A_{triangle}=12.5\) into the formula. So, \(A_{total}=50 + 12.5=62.5m^{2}\)

Answer:

A. \(12.5m^{2}\)

Question 4