Subjects geometry

Figure A 649E2E

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1. **Problem Statement:** Find the perimeter and area of figure A, a parallelogram-like shape with given side lengths and height. 2. **Given:** Height $h=87$ m, base $b=20$ m, slant sides $17$ m and $25$ m, bottom side $15$ m, perimeter $P=94$ m, area $A=362.15$ m$^2$ (verify). 3. **Formulas:** - Perimeter of polygon: sum of all side lengths. - Area of parallelogram: $A = b \times h$ where $b$ is base and $h$ is height perpendicular to base. 4. **Calculate Perimeter:** Sum all sides: $P = 20 + 17 + 25 + 15 = 77$ m. 5. **Check given perimeter:** Given $P=94$ m, but sum is $77$ m, so likely some sides missing or shape is composite. Since problem states ignore border numbers, use sum $77$ m. 6. **Calculate Area:** Area $A = b \times h = 20 \times 87 = 1740$ m$^2$. 7. **Check given area:** Given $238.9$ m$^2$ and $362.15$ m$^2$ are inconsistent with calculation. Use formula result $1740$ m$^2$. 8. **Conclusion:** - Perimeter $P = 77$ m - Area $A = 1740$ m$^2$ **Note:** The problem's given values for area and perimeter do not match the standard formulas for parallelogram. The calculated values are based on standard geometry formulas.