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周长・面积与平面图形进阶

A rectangular region of land is divided into 40 square lots of equal area \( R \) , in square units. The length of the region is 1.6 times the width of the region. If the width of the region is \( x\sqrt{R} \)  units, what is the value of \( x \) ?
原库参考解析
2024年12月B卷 · 原库模块 1 · Q7作答 ↗
周长・面积与平面图形挑战

题目图表
In the figure shown, the measure of angle \( X \) is 52°. The length of \( XY \) is 24 units and the length of \( XZ \)  is 17 units. What is the area, in square units, of triangle \( XYZ \)?
原库参考解析
2024年12月B卷 · 原库模块 2 · Q13作答 ↗
周长・面积与平面图形挑战

Circle K has a radius of 2 millimeters (mm). Circle L has an area of 144π mm². What is the total area, in mm², of circles K and L?
原库参考解析
2024年12月B卷 · 原库模块 2 · Q5作答 ↗
周长・面积与平面图形进阶

Triangle R has an area of 80 square centimeters (cm²). Square S has side lengths of 4 cm. What is the total area of triangle R and square S, in cm²?
原库参考解析
2024年3月A卷 · 原库模块 1 · Q8作答 ↗
周长・面积与平面图形进阶

题目图表
The area of triangle ABC is 60 square centimeters. What is the height h, in centimeters, of this triangle?
原库参考解析
2024年3月C卷练习 · 原库模块 1 · Q13作答 ↗
周长・面积与平面图形进阶

A certain rectangular flag is produced in several different sizes. The flag is designed so that its length is always 1.46 times its width. Which equation gives the area A, in square feet, of this flag if it has a width of w feet?
原库参考解析
2024年5月C卷 · 原库模块 1 · Q5作答 ↗
周长・面积与平面图形进阶

A rectangular banner has an area of 3,200 square inches, A copy of the banner is made in which the length and width of the original banner are each increased by 20%. What is the area of the copy, in square inches?
原库参考解析
2024年6月A卷 · 原库模块 1 · Q20作答 ↗
周长・面积与平面图形进阶

A rectangular banner has an area of 3,500 square inches. A copy of the banner is made in which the length and width of the original banner are each increased by 40%. What is the area of the copy, in square inches?
原库参考解析
2024年6月B卷 · 原库模块 1 · Q20作答 ↗
周长・面积与平面图形挑战

The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the length of the third side. If a triangle has side lengths of 5 and 9, which inequality represents the possible lengths, x, of the third side of the triangle?
原库参考解析
2024年6月B卷 · 原库模块 2 · Q18作答 ↗
周长・面积与平面图形挑战

If the perimeter of an equilateral triangle with a height of 47 units is\( a\sqrt{3} \) units, what is the value of a?
原库参考解析
2024年8月A卷 · 原库模块 2 · Q16作答 ↗
周长・面积与平面图形挑战

A rectangular region of land is divided into 40 square lots of equal area R, in square units. The length of the region is 1.6 times the width of the region. If the width of the region is \( x\sqrt{R} \) units, what is the value of x?
原库参考解析
2024年8月B卷 · 原库模块 2 · Q15作答 ↗
周长・面积与平面图形挑战

The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the length of the third side. If a triangle has side lengths of 7 and 10, which inequality represents the possible lengths, x, of the third side of the triangle?
原库参考解析
2025年3月国际A卷 · 原库模块 2 · Q16作答 ↗