Task 12:Diagram NOTaccurately drawnDх стCx ст8 cmSx cmAВР хст10 cmABCD is a rectangle.АВ 3 10 ст.ВС 3 8 ст.P, Q, R and S are points on the sides of the rectangle.ВР 3 СQ 3DDR 3D AS 3 х ст.a. Show that the area, A cm², of the quadrilateral PQRS is given by the formulaA = 2x2 – 18x + 80b. Find and use it to find the value of x for which A is minimum.

Answered: Image /qna-images/answer/58819023-08b7-4de3-a4a3-9f7649be9d70.jpg

R D x cm Diagram NOT accurately drawn C х ст 8 cm S х ст B Р х ст A 10 cm ABCD is a rectangle. АВ 3 10 ст. ВС 8 ст. P, Q, R and S are points on the sides of the rectangle. ВР CQ = DR = AS = x cm. %3D a. Show that the area, A cm2, of the quadrilateral PQRS is given by the formula A = 2x2 – 18x + 80 - dA b. Find and use it to find the value of x for which A is minimum. dx

R D x cm Diagram NOT accurately drawn C х ст 8 cm S х ст B Р х ст A 10 cm ABCD is a rectangle. АВ 3 10 ст. ВС 8 ст. P, Q, R and S are points on the sides of the rectangle. ВР CQ = DR = AS = x cm. %3D a. Show that the area, A cm2, of the quadrilateral PQRS is given by the formula A = 2x2 – 18x + 80 - dA b. Find and use it to find the value of x for which A is minimum. dx

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.2: Perimeter And Area Of Polygons

Problem 55E: Each side of square RSTV has length 8. Point W lies on VR- and point Y lies on TS- in such a way to...

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