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Calculate the area of the land plot with the depicted shape.
Step-by-step Solution for Exercise 2 on pages 105 and 106 in Math Grade 5 Workbook
Solution Method:
* Important concepts to note:
- To calculate the area of a trapezoid: Add the length of the longer base to the length of the shorter base, multiply by the height, and then divide by 2.
- To calculate the area of a right-angled triangle: To find the area of a right-angled triangle, take half the product of the two sides that form the right angle.
* Applying the above formulas to the specific problem: Observe the diagram, and notice that the land plot is divided into a trapezoid BMCN and two right-angled triangles: ABM and CND. Therefore, applying the formulas mentioned above, calculate the area of each shape and add them together to get the total area of the land plot.
Answer:
The area of trapezoid BMCN is:
(38 + 20.8) x 37.4 : 2 = 1099.56 (m2)
The area of triangle ABM is:
24.5 x 20.8 : 2 = 254.8 (m2)
The area of triangle CND is:
25.3 x 38 : 2 = 480.7 (m2)
The total area of the land plot is:
1099.56 + 254.8 + 480.7 = 1835.06 (m2)
Answer: 1835.06m2
Mytour has just provided the solution to Exercise 2 on pages 105 and 106 in the Grade 5 Mathematics Workbook. In addition, we also suggest solutions for Exercise 1 on pages 105 and 106 in Grade 5 Mathematics Workbook. Check out the guidance on Solving Grade 5 Math pages 105 and 106 to excel in 5th-grade math.
