Math Problem Statement

Daerah yang diarsir adalah sketsa tanah yang ditanami rumput. Luas hamparan rumput tersebut adalah ....

Solution

The image contains a diagram of a plot of land, divided into several segments, with dimensions labeled in meters. The problem is asking to calculate the area of the shaded region (labeled as "daerah yang diarsir") which represents the land planted with grass.

Analyzing the shape:

The plot looks like a combination of rectangles and triangles. Here are the labeled dimensions:

  • One rectangle with dimensions: 25 m × 40 m
  • One triangle with a base of 50 m and a height of 80 m (next to "Jalan Raya" or the road)

Steps to calculate the total area:

  1. Area of the rectangle: Arearectangle=length×width=25m×40m=1000m2\text{Area}_{\text{rectangle}} = \text{length} \times \text{width} = 25 \, \text{m} \times 40 \, \text{m} = 1000 \, \text{m}^2

  2. Area of the triangle: Areatriangle=12×base×height=12×50m×80m=2000m2\text{Area}_{\text{triangle}} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 50 \, \text{m} \times 80 \, \text{m} = 2000 \, \text{m}^2

  3. Total area of the shaded region: Sum of both the rectangle and triangle areas: Total area=1000m2+2000m2=3000m2\text{Total area} = 1000 \, \text{m}^2 + 2000 \, \text{m}^2 = 3000 \, \text{m}^2

However, since none of the answer options provided (1.759 m², 1.795 m², 1.957 m², 1.975 m²) are close to this total, it seems there may be a missing or misinterpreted section of the figure. I'll need to reconsider any potential corrections in the shape interpretation or clarify based on possible approximations.

Do you have any specific details to add, or would you like me to explore another method for refining the calculation?

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Math Problem Analysis

Mathematical Concepts

Geometry
Area Calculation
Triangles
Rectangles

Formulas

Area of rectangle: length × width
Area of triangle: 1/2 × base × height

Theorems

Area formula for basic geometric shapes

Suitable Grade Level

Grades 6-9