Rectangle MNOP has a perimeter of 18 cm and an area of 14 cm2. After rectangle MNOP is dilated, rectangle M'N'O'P' has an area of 126 cm2. What is the perimeter of rectangle M'N'O'P'?

The perimeter of rectangle M'N'O'P' =54 cm

Step-by-step explanation:

When we dilated a figure , then the image is the similar figure them the original.

For similar figures,

As per given, Rectangle MNOP has a perimeter of 18 cm and an area of 14 cm².

Area of M'N'O'P' =  126 cm²

then,

Hence, the perimeter of rectangle M'N'O'P' =54 cm

1. 180°. the sum of the interior angles of a triangle is 180°, for the equilateral triangle that it has three equals side is 60°+60°+60°=180°.

2. 60°. each interior angle of a equilateral triangle is 60°

3. 120°. the measure of ∠m is 120°, the sum of the angles ∠m and ∠n is equal to 180°. so, in order to find the measure of ∠m, we have ∠m+∠n=180° > ∠m=180°-∠n > ∠m=180°-60°=120°.

4. 360°. the sum of the exterior angles of an equilateral triangle is ∠m+∠r+∠x=120°+120°+120°=360°. the exterior angles of any triangle always add 360°.