# 8.9.3. Areas of Some Geometric Figures

Determine the area of a rhombus having a side length of cm and a height of cm.

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Find the area of a rhombus whose diagonals are cm and cm.

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If the perimeter of the rhombus cm, and cm, find the area of .

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Determine the square's area whose diagonal's length equals cm.

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If cm and cm, find the length of .

• Acm
• Bcm
• Ccm
• Dcm
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The area of a trapezoid is , and the length of one of its parallel bases is cm. If the height is cm, find the length of its other base.

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The diagonal length of a square is cm. Find its area, and approximate the result to the nearest tenth, if needed.

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Given that the middle base length of a trapezium is cm, and its height is cm, find its area.

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Determine the area of the rhombus whose height is cm, given that its side length is cm.

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The product of the lengths of the diagonals of a rhombus is , where the rhombus’s height is cm. Find the side length of the rhombus, and approximate the result to the nearest hundredth, if needed.

• Acm
• Bcm
• Ccm
• Dcm
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If the area of a trapezium is , and the lengths of its two parallel bases are cm and cm, find its height.

• Acm
• Bcm
• Ccm
• Dcm
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The area of a square is . Find its diagonal length approximated to the nearest hundredth, if needed.

• Acm
• Bcm
• Ccm
• Dcm
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The area of a square is . Find its diagonal length approximated to the nearest hundredth, if needed.

• Acm
• Bcm
• Ccm
• Dcm
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Given that is a square in which cm and cm, find the area of the shaded part approximating the result to the nearest hundredth, if needed.

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Two pieces of land have the same area, where one of them is in the shape of a square, and the other is in the shape of a rhombus whose diagonals’ lengths are m and m. Find the perimeter of the square-shaped piece of land, and approximate the result to the nearest hundredth, if needed.

• Am
• Bm
• Cm
• Dm
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If the ratio between the lengths of the two diagonals of a rhombus is , where the length of the smaller diagonal is cm, find the area of the rhombus approximated to the nearest hundredth, if needed.

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Given that is a trapezium, where , is the midpoint of , is the midpoint of , cm, cm, and the area of the trapezium is , find the length of and the perpendicular distance between and .

• Acm, cm
• Bcm, cm
• Ccm, cm
• Dcm, cm
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