A Δ PQR is reduced by a scale factor 0.72. If the area of Δ PQR is 62.5 cm2, find the area of its image.

We know that, Area of image = k2 × Area of the actual triangle Δ PQR = (0.72)2 × 62.5 = 0.5184 × 62.5 = 32.4 cm2. Hence, area of image of Δ PQR = 32.4 cm2.

Mathematics

A Δ PQR is reduced by a scale factor 0.72. If the area of Δ PQR is 62.5 cm², find the area of its image.

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Answer

We know that,

Area of image = k² × Area of the actual triangle Δ PQR

= (0.72)² × 62.5

= 0.5184 × 62.5

= 32.4 cm².

Hence, area of image of Δ PQR = 32.4 cm².

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A Δ PQR is reduced by a scale factor 0.72. If the area of Δ PQR is 62.5 cm², find the area of its image.

Similarity

Answer

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Mathematics

A Δ PQR is reduced by a scale factor 0.72. If the area of Δ PQR is 62.5 cm2, find the area of its image.

Similarity

Answer

Related Questions

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A Δ PQR is reduced by a scale factor 0.72. If the area of Δ PQR is 62.5 cm², find the area of its image.

A rectangle having an area of 60 cm² is transformed under enlargement about a point in space. If the area of its image is 135 cm², find the scale factor of the enlargement.

On a map drawn to a scale of 1 : 25000, a triangular plot LMN of land has the following measurements :
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(i) the actual lengths of MN and LN in kilometers,
(ii) the actual area of the plot in sq. km.