By referring to the solution for Grade 5 Math Exercise Book Page 5 VBT Workbook Section 2: Trapezoid Area, Exercise 91, students will easily learn how to solve exercises 1, 2, and 3 in the exercise book. Additionally, they can confidently grasp the knowledge and apply the trapezoid area calculation formula to their exercises.
Solving Grade 5 Math Exercise Book Page 5 VBT Workbook Section 2: Trapezoid Area, Exercise 91
1. Solving Exercise 1 - Math Workbook Grade 5 Volume 2 Page 5
Problem Statement:
Mark X in the empty box below the trapezoid with an area less than 50cm2.
Solution Method:
Applying the formula for calculating the area of a trapezoid:
The formula to calculate the area is: S = (a + b) x h/2
where S represents the area; a and b are the lengths of the bases; h is the height. (a, b, and h are in the same unit of measurement)
Answer:
The area of shape a is: (5+9) x 7/2 = 49 cm2
The area of shape b is: (13+18) x 6/2 = 93 cm2
2. Solve problem 2 - Math workbook for grade 5 page 2
Problem:
Write the appropriate measurement in the blank space:
Solution Method:
Applying the formula for calculating the area of a trapezoid:
S = (a + b) x h/2
where S is the area; a, b are the lengths of the bases; h is the height. (a; b; h in the same unit of measurement)
Answer:
Area of trapezoid (1): (2.8+1.6) x 0.5/2 = 1.1 (m2)
5 decimeters = 0.5 meters
Area of trapezoid (2): (1.5+0.8) x 0.5/2 = 0.575 (m2)
Area of trapezoid (3): (1/3 + 1/5) x 1/2 : 2 = 2/15 (m2)
3. Solve problem 3 - Math workbook for grade 5 page 2 question 5
Problem:
Shape H is formed by a triangle and a trapezoid with dimensions as shown in the diagram. Calculate the area of shape H.
Solution Method
Area of shape H = area of triangle + area of trapezoid.
Area of triangle = base length x height : 2.
Area of trapezoid = (large base + small base) x height : 2.
Answer
Area of triangle:
13 x 9 : 2 = 58.5 (cm2)
Area of trapezoid:
(22+13) x 12/2 = 210(cm2)
Area of shape H is :
58.5 + 210 = 268.5(cm2)
Answer: 268.5cm2
Above is the guide for solving Exercise 91 in Math Workbook Grade 5 Volume 2, page 5, Trapezoid Area. Please continue with the guidance for Solving Math Problems Grade 5, Volume 2, pages 6, 7, Practice, Exercise 92, and review the exercise Solving Math Problems Grade 5, Volume 2, pages 3, 4, Trapezoid, Exercise 90 for the best reinforcement of knowledge.
